arxiv:1606.06820v5 [cs.cl] 20 may 2017white ferguson police o cer darren wilson was not in-dicted...
TRANSCRIPT
Divergent discourse between protests and counter-protests:#BlackLivesMatter and #AllLivesMatter
Ryan J. Gallagher,∗ Andrew J. Reagan, Christopher M. Danforth, and Peter Sheridan DoddsDepartment of Mathematics and Statistics, Computational Story Lab,
Vermont Complex Systems Center, and Vermont Advanced Computing CoreThe University of Vermont, Burlington, VT 05405
(Dated: May 23, 2017)
Since the shooting of Black teenager Michael Brown by White police officer Darren Wilson inFerguson, Missouri, the protest hashtag #BlackLivesMatter has amplified critiques of extrajudicialkillings of Black Americans. In response to #BlackLivesMatter, other Twitter users have adopted#AllLivesMatter, a counter-protest hashtag whose content argues that equal attention should begiven to all lives regardless of race. Through a multi-level analysis of over 860,000 tweets, westudy how these protests and counter-protests diverge by quantifying aspects of their discourse.We find that #AllLivesMatter facilitates opposition between #BlackLivesMatter and hashtags suchas #PoliceLivesMatter and #BlueLivesMatter in such a way that historically echoes the tensionbetween Black protesters and law enforcement. In addition, we show that a significant portionof #AllLivesMatter use stems from hijacking by #BlackLivesMatter advocates. Beyond simplyinjecting #AllLivesMatter with #BlackLivesMatter content, these hijackers use the hashtag todirectly confront the counter-protest notion of “All lives matter.” Our findings suggest that BlackLives Matter movement was able to grow, exhibit diverse conversations, and avoid derailment onsocial media by making discussion of counter-protest opinions a central topic of #AllLivesMatter,rather than the movement itself.
I. INTRODUCTION
Protest movements have a long history of forcing diffi-cult conversations in order to enact social change, and theincreasing prominence of social media has allowed theseconversations to be shaped in new and complex ways.Indeed, significant attention has been given to how toquantify the dynamics of such social movements. Recentwork studying social movements and how they evolvewith respect to their causes has focused on Occupy WallStreet [1–3], the Arab Spring [4], and large-scale protestsin Egypt and Spain [5, 6]. The network structures ofmovements have also been leveraged to answer questionsabout how protest networks facilitate information diffu-sion [7], align with geospatial networks [8], and impactoffline activism [9–11]. Both offline and online activistshave been shown to be crucial to the formation of protestnetworks [12, 13] and play a critical role in the eventualtipping point of social movements [14, 15].
The protest hashtag #BlackLivesMatter has come torepresent a major social movement. The hashtag wasstarted by three women, Alicia Garza, Patrisse Cullors,and Opal Tometi, following the death of Trayvon Martin,a Black teenager who was shot and killed by neighbor-hood watchman George Zimmerman in February 2012[16]. The hashtag was a “call to action” to address anti-Black racism, but it was not until November 2014 whenWhite Ferguson police officer Darren Wilson was not in-dicted for the shooting of Michael Brown that #Black-LivesMatter saw widespread use. Since then, the hashtaghas been used in combination with other hashtags, such
as #EricGarner, #FreddieGray, and #SandraBland, tohighlight the extrajudicial deaths of other Black Ameri-cans. #BlackLivesMatter has organized the conversationsurrounding the broader Black Lives Matter movementand activist organization of the same name. Some havelikened Black Lives Matter to the New Civil Rights move-ment [17, 18], though the founders reject the comparisonand self-describe Black Lives Matter as a “human rights”movement [19].
Researchers have only just begun to study the emer-gence and structure of #BlackLivesMatter and its as-sociated movement. To date and to the best of ourknowledge, Freelon et al. have provided the most com-prehensive data-driven study of Black Lives Matter [20].Their research characterizes the movement through mul-tiple frames and analyzes how Black Lives Matter hasevolved as a movement both online and offline. Otherresearchers have given particular attention to the be-ginnings of the movement and its relation to the eventsof Ferguson, Missouri. Jackson and Welles have shownthat the initial uptake of #Ferguson, a hashtag that pre-cluded widespread use of #BlackLivesMatter, was due tothe early efforts of “citizen journalists” [21], and Bonillaand Rosa argue that these citizens framed the story ofMichael Brown in such a way that facilitated its even-tual spreading [22]. Other related work has attemptedto characterize the demographics of #BlackLivesMatterusers [23], how #BlackLivesMatter activists affect sys-temic political change [24], and how the movement self-documents itself through Wikipedia [25].
#BlackLivesMatter has found itself contended by arelatively vocal counter-protest hashtag: #AllLivesMat-ter. Advocates of #AllLivesMatter affirm that equal at-tention should be given to all lives, while #BlackLives-
arX
iv:1
606.
0682
0v5
[cs
.CL
] 2
0 M
ay 2
017
2
Aug 2014
Sep Oct Nov Dec Jan 2015
Feb Mar Apr May Jun Jul Aug
Time (Days)
0
5000
10000
15000
20000
Num
ber
of
Tw
eets Darren Wilson
non-indictment
Daniel Pantaleonon-indictment
Death of Two NYPD Officers
Baltimore Protests
Charleston ChurchShootingWalter Scott Death
Beyonce, John LegendGrammy Performances and
Chapel Hill Shooting
Outrage OverSandra Bland Death
Number of #BlackLivesMatter and #AllLivesMatter Tweets (10% Gardenhose Sample)
#BlackLivesMatter
#AllLivesMatter
FIG. 1. Time series showing the number of #BlackLivesMatter and #AllLivesMatter tweets from Twitter’s 10% Gardenhosesample. The plot is annotated with several major events pertaining to the hashtags. Shaded regions indicate one-week periodswhere use of both #BlackLivesMatter and #AllLivesMatter peaked in frequency. These are the periods we focus on in thepresent study.
Matter supporters contend that such a sentiment derailsthe Black Lives Matter movement. The counter-hashtag#AllLivesMatter has received less attention in terms ofresearch, largely being studied from a theoretical angle.The phrase “All Lives Matter” reflects a “race-neutral”or “color-blind” approach to racial issues [26]. Whilethis sentiment may be “laudable,” it is argued that race-neutral attitudes can mask power inequalities that resultfrom racial biases [27]. From this perspective, those whoadopt #AllLivesMatter evade the importance of race inthe discussion of Black deaths in police-involved shoot-ings [28, 29]. To our knowledge, our work is the firstto engage in a data-driven approach to understanding#AllLivesMatter. This approach not only allows us tosubstantiate several broad claims about the use of #Al-lLivesMatter, but to also highlight trends in #AllLives-Matter that are absent from the theoretical discussion ofthe hashtag.
Given the popular framing of Black Lives Matter asthe New Civil Rights movement, the movement and itsoppositions are in and of themselves of interest to study.Furthermore, while qualitative study of #AllLivesMat-ter has provided a theoretical framing of the hashtag,it is still unclear to what extent, if any, the All LivesMatter movement hijacked the conversations of #Black-LivesMatter. Through the computational analysis of over860,000 tweets, in this paper we comprehensively quan-tify the ways in which the protest and counter-protestdiscourses of #BlackLivesMatter and #AllLivesMatterdiverge most significantly. Unlike previous studies of po-litical polarization that focus on hashtag trends or cu-rated lists of terms [31, 32, 34, 35], the methods we lever-
age take advantage of the entirety of textual data, thusgiving weight to all protest sentiments that were voicedthrough these hashtags.
Through application of these methods at the wordlevel and topic level, we first show that #AllLivesMat-ter diverges from #BlackLivesMatter through supportof pro-law-enforcement sentiments. This places #Black-LivesMatter and hashtags such as #PoliceLivesMatterand #BlueLivesMatter in opposition, a framing that isin line with the theoretical understanding of #AllLives-Matter and that mimics how relationships between blackprotesters and law enforcement have been historically de-picted. We then demonstrate that #AllLivesMatter ex-periences significant hijacking from #BlackLivesMatter,while #BlackLivesMatter exhibits rich and information-ally diverse conversations, of which hijacking is a muchsmaller portion. These findings, which augment the the-oretical discussion of the impact of the All Lives Mattermovement, suggest that the Black Lives Matter move-ment was able to avoid being derailed by counter-protestopinions on social media by relegating discussion of suchopinions to the counter-protest, rather than the move-ment itself.
II. MATERIALS AND METHODS
A. Data Collection
We collected tweets containing #BlackLivesMatterand #AllLivesMatter (case-insensitive) from the period
3
August 8th, 2014 to August 31st, 2015 from the Twit-ter Gardenhose feed. The Gardenhose represents a10% random sample of all public tweets. Our sub-sample resulted in 767,139 #BlackLivesMatter tweetsfrom 375,620 unique users and 101,498 #AllLivesMattertweets from 79,753 unique users. Of these tweets, 23,633of them contained both hashtags. When performing ouranalyses, these tweets appear in each corpus.
Previous work has emphasized the importance of view-ing protest movements through small time scales [20, 21].In addition, we do not attempt to characterize all ofthe narratives that exist within #BlackLivesMatter and#AllLivesMatter. Therefore, we choose to restrict ouranalysis to eight one-week periods where there were si-multaneous spikes in #BlackLivesMatter and #AllLives-Matter. These one-week periods are labeled on Figure 1and are as follows:
1. November 24th, 2014 : the non-indictment of Dar-ren Wilson in the death of Michael Brown. [37]
2. December 3rd, 2014 : the non-indictment of DanielPantaleo in the death of Eric Garner [38].
3. December 20th, 2014 : the deaths of New York Citypolice officers Wenjian Liu and Rafael Ramos [39].
4. February 8th, 2015 : the Chapel Hill shooting andthe 2015 Grammy performances by Beyonce andJohn Legend [40, 41].
5. April 4th, 2015 : the death of Walter Scott [42].
6. April 26th, 2015 : the social media peak of protestsin Baltimore over the death of Freddie Gray [43].
7. June 17th, 2015 : the Charleston Church shooting[44].
8. July 21st, 2015 : outrage over the death of SandraBland [45].
B. Entropy and Diversity
A large part of our textual analysis relies on tools frominformation theory, so we describe these methods hereand frame them in the context of the corpus. Given atext with n unique words where the ith word appearswith probability pi, the Shannon entropy H encodes “un-predictability” as
H = −n∑
i=1
pi log2 pi. (1)
Shannon’s entropy describes the unpredictability of abody of text, and so, intuitively, we say that a text withhigher Shannon’s entropy is less predictable than a textwith lower Shannon’s entropy. It can then be useful tothink of Shannon’s entropy as a measure of diversity,
where high entropy (unpredictability) implies high di-versity. In this case, we refer to Shannon’s entropy asthe Shannon index. We employ this raw diversity mea-sure in Section III A to examine the diversity of languagesurrounding individual words.
Of the diversity indices, only the Shannon index givesequal weight to both common and rare words [46]. Inaddition, even for a fixed diversity index, care must betaken in comparing diversity measures to one another[46]. In order to make linear comparisons of diversitybetween texts, we convert the Shannon index to an effec-tive diversity. The effective diversity D of a text T withrespect to the Shannon index is given by
D = 2H = 2
(−
∑ni=1 pi log2 pi
). (2)
The expression in Eq. 2 is also known as the perplexity ofthe text. The effective diversity allows us to accuratelymake statements about the ratio of diversity between twotexts. For example, unlike the raw Shannon index, theeffective diversity doubles in the situation of comparingtexts with n and 2n equally-likely words. We apply theeffective diversity in Section III C.
C. Jensen-Shannon Divergence
The Kullback-Leibler divergence is a statistic that as-sesses the distributional differences between two texts.Given two texts P and Q with a total of n unique words,the Kullback-Leibler divergence between P and Q is de-fined as
DKL(P ||Q) =
n∑i=1
pi log2
piqi, (3)
where pi and qi are the probabilities of seeing word i inP and Q respectively. However, if there is a single wordthat appears in one text but not the other, this divergencewill be infinitely large. Because such a situation is notunlikely in the context of Twitter, we instead leveragethe Jensen-Shannon divergence (JSD) [47], a smoothedversion of the Kullback-Leibler divergence:
DJS(P ||Q) = π1DKL(P ||M) + π2DKL(Q||M). (4)
Here, M is the mixed distribution M = π1P+π2Q whereπ1 and π2 are weights proportional to the sizes of P andQ such that π1 + π2 = 1. The Jensen-Shannon diver-gence has been previously used in textual analyses thatrange from the study of language evolution [48, 49] to theclustering of millions of documents [50].
The JSD has the useful property of being bounded be-tween 0 and 1. The JSD is 0 when the texts have exactlythe same word distribution, and is 1 when neither texthas a single word in common. Furthermore, by the lin-earity of the JSD we can extract the contribution of anindividual word to the overall divergence. The contribu-
4
tion of word i to the JSD is given by
DJS,i(P ||Q) = −mi log2mi + π1pi log2 pi + π2qi log2 qi,(5)
where mi is the probability of seeing word i in M . Thecontribution from word i is 0 if and only if pi = qi. There-fore, if the contribution is nonzero, we can label the con-tribution to the divergence from word i as coming fromtext P or Q by determining which of pi or qi is larger.
III. RESULTS
A. Word-Level Divergence
For each of the eight time periods, the collectionsof #BlackLivesMatter and #AllLivesMatter tweets areeach represented as bags of words where user handles,links, punctuation, stop words, the retweet indicator“RT,” and the two hashtags themselves are removed. Wethen calculate the Jensen-Shannon divergence betweenthese two groups of text, and rank words by percent con-tribution to the total divergence. We present the re-sults of applying the JSD to the weeks following the non-indictment of Darren Wilson and the Baltimore protestsin Figures 2–5 and the remaining periods in AppendixFigures A1–A4.
All contributions on the JSD word shift graphs arepositive, where a bar to the left indicates the word wasmore common in #AllLivesMatter and a bar to the rightindicates the word was more common in #BlackLives-Matter. The bars of the JSD word shift graph are alsoshaded according to the diversity of language surround-ing each word. For each word w, we consider all tweetscontaining w in the given hashtag. From these tweets,we calculate the Shannon index of the underlying worddistribution with the word w and hashtag removed. Ahigh Shannon index indicates a high diversity of wordswhich, in the context of Twitter, implies that the wordw was used in a variety of different tweets. On the otherhand, a low Shannon index indicates that the word woriginates from a few popular retweets. We emphasizethat here we are using the Shannon index not to com-pare diversities between words, but to simply determineif a word was used diversely or not. By using Figure A2as a baseline (a period where #AllLivesMatter was domi-nated by one retweet), we determine a rule of thumb thata word is not used diversely if its Shannon index is lessthan approximately 3 bits.
By inspection of Figure 2, we find that #ferguson and#fergusondecision, both hashtags relevant to the non-indictment of Darren Wilson for the death of MichaelBrown, contribute to the divergence of #BlackLivesMat-ter from #AllLivesMatter. Similarly, in Figure 5 #fred-diegray emerges as a divergent hashtag during the Bal-timore protests due to #BlackLivesMatter. In each ofthese periods, #BlackLivesMatter diverges from #All-LivesMatter by talking proportionally more about the
1.5 1.0 0.5 0.0 0.5 1.0 1.5Contribution
(% of total JSD = 0.0855 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
murderedunarmedwomen
subtleerasure
#ripracism
insteadshot
identitiestimes
horizontallytraumaoppression
likebiased
retweettwitter
indicting#mainstreammedia
fuelingrepoing
workwrong
beatwannamakes
3000#williamsburg
agechanging
#ferguson#fergusondecision
#nycprotestpeoplereally
tweetwhite
structuralrelevant
everythingbrutality
epitomizedcountrysituationsingle
oppressioncommunities
stopignoring
facedthink
JSD Word ContributionsNovember 24, 2014 to November 30, 2014
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. 2. Jensen-Shannon divergence word shift graph for theweek following the non-indictment of Darren Wilson. Allword contributions are positive percentages of the total diver-gence, where bars to the left and right indicate the word wasmore common in #AllLivesMatter and #BlackLivesMatterrespectively. Shading indicate the Shannon index (in bits) oftweets containing the given word. Lighter shading indicatesthe contribution is due to one or several popular retweets.Darker shading indicates the contribution is due to the wordbeing used throughout many different tweets.
5
8.0 6.0 4.0 2.0 0.0 2.0 4.0Contribution
(% of total JSD = 0.2198 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
missionlet
#racist#shutitdown
#bluelivesmatter
choosenever
remainsprotesters#shutdown5thave
prayersampkeep
comeampgooursamemaintain
#nypdlivesmatterliu
officersmotivated
breathededicated
violenceramos
families#antoniomartin
colormind
job#blackxmas
yallgender
sexualityamerica
blowingclass
eitherheroes
protest#nypdguess
#ripericgarner#moa
#nypdstrong#icantbreathe
ukrip
brightonhove
mall#policelivesmatter
merica
JSD Word ContributionsDecember 20, 2014 to December 26, 2014
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. 3. Jensen-Shannon divergence word shift graph forthe week following the death of two NYPD police officers.See main text and the caption of Fig. 2 for an explana-tion of the word shift graphs. The diversity of “merica”appears to be high, however it is almost exclusively usedin one popular retweet. This high diversity is due to al-terations of the original retweet that added comments.Since these less popular, modified retweets contain dif-ferent language from one another, and the original tweethas no other words used in it, the diversity surrounding“merica” is artificially elevated. So, although uncommon,the diversity measure may be difficult to interpret in thecase of popular one-word retweets.
6.0 4.0 2.0 0.0 2.0 4.0Contribution
(% of total JSD = 0.3901 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
plzamen
legendsyria
seemworld
#jesuischarliefightselmacentersstrengthglory
#syriaperformance
mutesenselessappalled
media#grammmysqueen
brigadedoesnt
muslimspowerprince
tragedyvictims
hatemonths
placetalking
existsave
#fergusonblack6
silenceright
wouldnt#mikebrown
students3
#beyhivebeyonce
#muslimlivesmatterhill
chapel#handsupdontshoot
#grammys#chapelhillshooting
JSD Word ContributionsFebruary 08, 2015 to February 14, 2015
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. 4. Jensen-Shannon divergence word shift graph forthe week following the 2015 Grammy Awards and theChapel Hill shooting. See main text and the caption ofFig. 2 for an explanation of the word shift graphs. Thisperiod reflects a time in which usage of both #BlackLives-Matter and #AllLivesMatter diverged due to focus on dif-ferent events. Discussion within #AllLivesMatter reflectsthe Chapel Hill shooting, while discussion within #Black-LivesMatter reflects the 2015 Grammy Awards and theperformances of Beyonce and John Legend that alludedto Black Lives Matter.
6
1.0 0.5 0.0 0.5 1.0 1.5Contribution
(% of total JSD = 0.1225 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
leftgender
marchpain
#endslavery#govegan
leavealum
#wakeupamerica#whitelivesmatter
#farm365directing
talkedprotesting
squaregonna
someonesimage
barely#rednationrising
imkenya
massacre#blackspring
talkingunion
riotinggiven
147#ccot#tcotrace
wouldnt1960sviral#every28hrs
inspiredapril
#bluelivesmatter
original#policelivesmatter
#prayforbaltimore
#baltimoredismissive
undermines2015
sayinguncalled
#freddiegray#baltimoreuprising
JSD Word ContributionsApril 26, 2015 to May 02, 2015
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. 5. Jensen-Shannon divergence word shift graph for theweek encapsulating the peak of the Baltimore protests sur-rounding the death of Freddie Gray. See main text and thecaption of Fig. 2 for an explanation of the word shift graphs.In this period, the conservative alignment of #AllLivesMatteris particularly prevalent, as seen in the hashtags #tcot (TopConservatives on Twitter), #ccot (Conservative Christians onTwitter), and #rednationrising.
relevant deaths of Black Americans. Similar divergencesappear in the other periods as well, as evidenced by theappearance of #ericgarner, #walterscott, and #sandrab-land in the respective Appendix word shift graphs.
During important protest periods, the conversationwithin #AllLivesMatter diversifies itself around the livesof law enforcement officers. As shown in Figure 5, dur-ing the Baltimore protests in which #baltimoreuprisingand #baltimore were used significantly in #BlackLives-Matter, users of #AllLivesMatter responded with diverseusage of #policelivesmatter and #bluelivesmatter. Sim-ilarly, Figure 3 shows that upon the death of the twoNYPD officers, words such as “officers,” “ramos,” “liu,”and “prayers” appeared in a variety of #AllLivesMattertweets. In addition, pro-law enforcement hashtags suchas #policelivesmatter, #nypd, #nypdlivesmatter, and#bluelivesmatter all contribute to the divergence of #Al-lLivesMatter from #BlackLivesMatter. Such divergencecomes at the same time that the hashtags #moa and#blackxmas and words “protest,” “mall,” and “america”were prevalent in #BlackLivesMatter due to Christmasprotests, specifically at the Mall of America in Blooming-ton, Minnesota. So, in the midst of political protests byBlack Lives Matter advocates, we see a law-enforcement-aligned response from #AllLivesMatter.
During the period following the non-indictment of Dar-ren Wilson, there are some words, such as “oppression,”“structural,” and “brutality,” that seem to suggest en-gagement from #AllLivesMatter with the issues beingdiscussed within #BlackLivesMatter, such as structuralracism and police brutality. Since the diversities of thesewords are low, we can inspect popular retweets contain-ing these words to understand how they were used. Do-ing so, we find that the words actually emerge in #Al-lLivesMatter due to hijacking [36], the adoption of ahashtag to mock or criticize it. That is, these wordsappear not because of discussion of structural oppres-sion and police brutality by #AllLivesMatter advocates,but because #BlackLivesMatter supporters are specifi-cally critiquing the fact such discussions are not occur-ring within #AllLivesMatter. (We have chosen to notprovide direct references to these tweets so as to protectthe identity of the original tweeter.) Similarly, a “3-panelcomic” strip criticizing the notion of “All Lives Matter”circulated through #AllLivesMatter following the deathof Eric Garner (Figure A1), and after the Chapel Hill andCharleston Church shootings, #BlackLivesMatter propo-nents leveraged #AllLivesMatter to question why believ-ers of the phrase were not more vocal (Figures 4 and A3).We note that we are able to pick up on these instances ofhijacking by inspecting words with high divergence, butlow diversity (meaning the divergence comes almost en-tirely from the few retweets containing the word). Thishijacking drives the divergence of #AllLivesMatter from#BlackLivesMatter in many of these periods.
7
#BlackLivesMatter Nodes % Original Nodes Edges Clustering
Nov. 24–Nov. 30, 2014 243 7.39% 467 0.0605Dec. 3–Dec. 9, 2014 339 5.98% 794 0.0691Dec. 20–Dec. 26, 2014 187 5.96% 391 0.1635Feb. 8–Feb. 14, 2015 70 4.75% 94 0.1740Apr. 4–Apr. 10, 2015 80 4.12% 114 0.1019Apr. 26–May 2, 2015 234 5.54% 471 0.1068Jun. 17–Jun. 23, 2015 167 6.35% 246 0.0746Jul. 21–Jul. 27, 2015 216 6.18% 393 0.0914#AllLivesMatter
Nov. 24–Nov. 30, 2014 26 5.76% 35 0.1209Dec. 3–Dec. 9, 2014 31 3.92% 49 0.2667Dec. 20–Dec. 26, 2014 41 3.95% 70 0.2910Feb. 8–Feb. 14, 2015 18 3.50% 23 0.1894Apr. 4–Apr. 10, 2015 7 1.88% 6 0.0000Apr. 26–May 2, 2015 38 4.12% 62 0.1868Jun. 17–Jun. 23, 2015 22 4.56% 28 0.3571Jul. 21–Jul. 27, 2015 33 4.26% 44 0.1209
TABLE I. Summary statistics for topic networks created fromthe full hashtag networks using the disparity filter at the sig-nificance level α = 0.03 [53].
B. Topic Networks
Having analyzed the micro-level dynamics of word us-age within #BlackLivesMatter and #AllLivesMatter, weturn to focus on the broader topics of these movementsand how these topics coincide with the word-level anal-ysis. Previous work on political polarization has usedhashtags as a proxy for topics [30, 32, 34, 51, 52] and herewe use the same interpretation. However, not all hash-tags assist in understanding the broad topics. For exam-ple, #retweet and #lol are two such hashtags that fre-quently appear in tweets, but they provide no evidentlyrelevant information about the events that are being dis-cussed. Thus, we require a way of uncovering the mostimportant topics and how they connect to one another.
To find these topics, we first construct hashtag net-works for each of #BlackLivesMatter and #AllLivesMat-ter, where nodes are hashtags and weighted edges denoteco-occurrence of these hashtags. To extract the coreof this hashtag network, we apply the disparity filter,a method introduced by Serrano et al. that yields the“multiscale backbone” of a weighted network [53]. Thisbackbone extracts statistically significant edges com-pared to a null model where all weights are uniformlydistributed. We take the topic network to be the largestconnected component of the backbone. For significancelevel α < 0.03, the disparity filter begins to force drasticdrops in the number of nodes removed from the originalhashtag network, as shown in Figure B1. For this reason,we analyze the backbones only for α ≥ 0.03.
Visualizations of the topic networks following the weekof the death of the two NYPD officers are presented inFigures 6 and 7, and networks of the remaining periodsare shown in the Appendix. Node sizes are proportionalto the square root of the number of times each hashtagwas used, and node colors are determined by the Louvainstructure detection method [54]. The exact assignmentsof topics to communities is not critical, but rather theyprovide a visual guide through the networks.
Table I and Appendix Tables B1 and B2 report thenumber of nodes, edges, clustering coefficients, and per-centages of nodes maintained from the full hashtag net-works per each significance level α = 0.03, 0.04, and 0.05respectively. We see that across all time periods of in-terest and significance levels, the number of topics in#BlackLivesMatter is higher than that of #AllLivesMat-ter. We also note that the clustering of the #BlackLives-Matter topics is less that of #AllLivesMatter almost al-ways. Thus, not only are there more topics presented in#BlackLivesMatter, but they are more diverse in theirconnections. In contrast, the stronger #AllLivesMatterties, as measured by their clustering, suggest that the#AllLivesMatter topics are more tightly connected andrevolve around similar themes. We see the clusteringis less within #AllLivesMatter during the week of Wal-ter Scott’s death, where the topic network has a star-likeshape with no triadic closure across all significance levels.This low clustering is not indicative of diverse conversa-tion, as the central node #BlackLivesMatter connectsseveral disparate topics. This is in line with our word-level analysis, where we concluded from Figure A2 thatthe discussion within #AllLivesMatter was dominated bya retweet not pertaining to the death of Walter Scott, theevent of that time period.
In order to extract the most central topics of #Black-LivesMatter and #AllLivesMatter during each time pe-riod, we compare the results of three centrality measures,betweenness centrality [55], random walk betweeness cen-trality [56], and PageRank [57] on the topic networksat significance level α = 0.03. Through inspection ofthe rankings of each list, we find the relative rankings ofthe most central topics in #BlackLivesMatter and #Al-lLivesMatter are robust to the centrality measure used.Table II shows the rankings according to random walkcentrality. Rankings from betweenness centrality andPageRank are reported in Appendix Tables B3 and B4.
We see that for both #BlackLivesMatter and #All-LivesMatter, the top identified topics are indicative ofthe relative events occurring in each time period. In#BlackLivesMatter for instance, #ferguson and #mike-brown are top topics after the non-indictment of DarrenWilson, #walterscott is a top topic after the death ofWalter Scott, and #sandrabland and #sayhername area top topics during the time period following the death ofSandra Bland. However, these major topics rank differ-ently in both #BlackLivesMatter and #AllLivesMatter.For instance, while #mikebrown, #ericgarner, #icant-breathe, #freddiegray, #baltimore, and #sandrablandall consistently rank higher in #BlackLivesMatter thanin #AllLivesMatter. The significant presence of thesehashtags within #BlackLivesMatter is consist with ourfindings from the JSD word shift graphs.
The most prominent discussion of non-Black lives inthe topic networks of #AllLivesMatter is discussion ofpolice lives. We see that in #AllLivesMatter, #nypd,#policelivesmatter, and #bluelivesmatter are rankedhigher as topics in #AllLivesMatter than in #Black-
8
houston
justiceforall
michaelbrown
oaklandprotests
alivewhileblack
tamirrice
asianlivesmatter
protest
poltwt
tgdn
thinkmoor
oakland
milwaukee
prince
policethepolice
mallofamerica
police
lajustice
achristmasstory
minnesota
merrychristmasinheaven
policestate
black
coplivesmatter
blackchristmas
justiceforericgarner
silentnight
selma
shutitdown
every28hours
ferguson
anonymous
wakeup
trayvonmartin
moa
handsupdon
ccot
christiantwitter
dayofpurpose
torturereport
christmas
2014in5words
christmaseve
policelivesmatter
millionsmarchnycwecantbreathe
xmas
sotfbrutality
akaigurley
antoniomartin
blacktwitterfoxnews
brownlivesmatter
mmla traintakeover
cleveland
fergusondecision
ftp
chargemetoodontrehamilton
jailkillercops
chicago
cancelchristmas
icantbreathe
missing
nojusticenowings
racisminamerica
abortjesus
deblasioresignnow
cnnismaaiylbrinsley
hispaniclivesmatter
blacklivesmpls
losangeles
tcot
policeshootings
newyork
tanishaanderson
jordanbaker
tlot
riptrayvonmartin
lgbt
ericgarner
berkeley
nativelivesmatter
thismustend
mynypd
nypdlivesmatter
nojusticenopeace
uppers
millionsmarch
farrakhan
uniteblue
johncrawford
fuck12
deblasio
thisstopstoday
america
ripericgarner
whiteprivilege
blackxmas
icantsleep
alllivesmatter
ows
acab
womenslivesmatter
mke
mikebrown
libcrib
usa
racism
indictthesystem
princess
occupy
racist
teaparty
dontehamiltonnyc2palestine
ferguson2nyc
stoptheviolence
shutdownptree
stolenlives
otg
cops
dontshoot
dcferguson
rip
anarquistaslibertad
atlanta
nypd
stlouis
pjnet
obama
p2topprog
iris_messenger
isis
itstopstoday
oaklandprotest
stl
mlk
bluelivesmatter
justice4dontre
crimingwhilewhite
whitelivesmatter
every28
shutitdownatl
shutdown5thave
wewillnotbesilenced
ripmikebrown
icantbreath
policebrutality
minneapolis
wearentsafe
idlenomore
tcshutitdown
seattle
phillyblackout
prolife
blacklivesmatterminneapolis
amerikkka
dontshootpdx
justiceforeric
ferguson2cle
icanbreathe
nyc
millionsmarchla
handsup
ny
wufam
handsupdontshoot
justiceformikebrown
brooklyn
blacktruthmatters
unionstation
sadday
copslivesmatter
blacklivesmattermoa
winterofresistance
antonio
justice4all
dayton
missouri
harlem
nypdshooting
ripantoniomartin
FIG. 6. #BlackLivesMatter topic network for the week following the death of two NYPD officers.
nypdlivesmattermichaelbrown
rafaelramos
icantbreath
deblasio
rip
brownlivesmatterantoniomartin
nba
handsupdontshoot
racebaiters
mikebrown
police
icantbreathe
merrychristmas
coplivesmatter
wenjianliu
nyc
mayorresign
stoptheviolence
tcot
nypdstrong
stolenlives
holdermustgo
brooklyn
shutitdown
fergusonnotallcopsarebad
nypd
nativelivesmatter
p2
whitelivesmatter
copslivesmatterpolicelivesmatter
bluelivesmatter
alsharpton
nojusticenopeace
ericgarnerthinblueline
nypdshooting
blacklivesmatter
FIG. 7. #AllLivesMatter topic network for the week following the death of two NYPD officers.
9
#BlackLivesMatter #AllLivesMatterTop Hashtags Betweenness Top Hashtags Betweenness
Nov. 24–Nov. 30, 2014
1. ferguson2. mikebrown3. fergusondecision4. shutitdown5. justiceformikebrown6. tamirrice7. blackoutblackfriday8. alllivesmatter9. boycottblackfriday10. blackfriday
0.89690.23030.11590.08540.06520.05830.05770.05120.04420.0439
1. blacklivesmatter2. ferguson3. fergusondecision4. mikebrown5. nycprotest6. williamsburg7. brownlivesmatter8. sf9. blackfridayblackout10. nyc
0.72290.60790.17910.17300.03030.01920.01580.01500.01370.0123
Dec. 3–Dec. 9, 2014
1. ericgarner2. icantbreathe3. ferguson4. shutitdown5. mikebrown6. thisstopstoday7. handsupdontshoot8. nojusticenopeace9. nypd10. berkeley
0.62210.50350.28230.11170.07450.05050.04690.04490.03990.0352
1. blacklivesmatter2. ericgarner3. ferguson4. icantbreathe5. tcot6. shutitdown7. handsupdontshoot8. crimingwhilewhite9. miami10. mikebrown
0.65890.43960.36840.27430.19160.15290.07970.06660.06660.0645
Dec. 20–Dec. 26, 2014
1. icantbreathe2. ferguson3. antoniomartin4. shutitdown5. nypd6. alllivesmatter7. ericgarner8. nypdlivesmatter9. tcot10. handsupdontshoot
0.57420.32340.28260.24730.14960.13240.12650.11470.10820.0986
1. blacklivesmatter2. nypd3. policelivesmatter4. nypdlivesmatter5. ericgarner6. nyc7. bluelivesmatter8. icantbreathe9. shutitdown10. mikebrown
0.67910.44860.29260.19900.15650.14610.14090.12540.09920.0860
Feb. 8–Feb. 14, 2015
1. blackhistorymonth2. grammys3. muslimlivesmatter4. bhm5. alllivesmatter6. handsupdontshoot7. mikebrown8. ferguson9. icantbreathe10. beyhive
0.65060.56140.55150.49870.49320.41500.25880.17540.16140.1325
1. muslimlivesmatter2. blacklivesmatter3. chapelhillshooting4. jewishlivesmatter5. butinacosmicsensenothingreallymatters6. whitelivesmatter7. rip8. hatecrime9. ourthreewinners
0.80120.42960.41920.22790.04310.01120.00730.00710.0058
Apr. 4–Apr. 10, 2015
1. walterscott2. blacktwitter3. icantbreathe4. ferguson5. p26. ericgarner7. alllivesmatter8. mlk9. kendrickjohnson10. tcot
0.91180.22830.17790.15550.10220.10030.09060.07170.06850.0617
1. blacklivesmatter 1.0000
Apr. 26–May 2, 2015
1. freddiegray2. baltimore3. baltimoreuprising4. baltimoreriots5. alllivesmatter6. mayday7. blackspring8. tcot9. baltimoreuprising10. handsupdontshoot
0.58060.47320.26250.24150.10530.09700.07370.05810.05000.0458
1. blacklivesmatter2. baltimoreriots3. baltimore4. freddiegray5. policelivesmatter6. baltimoreuprising7. tcot8. peace9. whitelivesmatter10. wakeupamerica
0.72270.43390.34630.18690.11060.10140.06630.04510.04440.0281
Jun. 17–Jun. 23, 2015
1. charlestonshooting2. charleston3. blacktwitter4. tcot5. unitedblue6. racism7. ferguson8. usa9. takedowntheflag10. baltimore
0.88490.25510.14890.13790.13400.13230.10850.10110.07900.0788
1. charlestonshooting2. blacklivesmatter3. bluelivesmatter4. gunsense5. pjnet6. 2a7. wakeupamerica8. tcot9. gohomederay10. ferguson
0.66660.62380.49000.25710.22920.18570.14940.12890.09520.0952
Jul. 21–Jul. 27, 2015
1. sandrabland2. sayhername3. justiceforsandrabland4. unitedblue5. blacktwitter6. alllivesmatter7. tcot8. defundpp9. p210. m4bl
0.78020.31750.19940.18700.17880.16480.10810.08270.07560.0734
1. blacklivesmatter2. pjnet3. tcot4. uniteblue5. defundplannedparenthood6. defundpp7. sandrabland8. justiceforsandrabland9. prolife10. nn15
0.84040.26890.26830.24400.24370.16920.13860.13860.08810.0625
TABLE II. The top 10 hashtags in the topic networks as determined by random walk betweeness centrality for each time period.Some #AllLivesMatter topic networks have less than 10 top nodes due to the relatively small size of the networks.
10
800
1000
1200
1400
1600
1800Eff
ect
ive L
exic
al D
ivers
ity
Effective Lexical Diversity Subsamples#BlackLivesMatter #AllLivesMatter
Nov 2014
Dec Jan 2015
Feb Mar Apr May Jun Jul Aug
Month
0
50
100
150
200
250
300
350
400
450
Eff
ect
ive H
ash
tag D
ivers
ity
Effective Hashtag Diversity Subsamples
FIG. 8. To control for how volume affects the effective diversity of #BlackLivesMatter and #AllLivesMatter, we break thetime scale down into months and subsample 2,000 tweets from each hashtag 1,000 times. The plot shows notched box plotsdepicting the distributions of these subsamples for effective lexical and hashtag diversity. The notches are small on all theboxes, indicating that the mean diversities are significantly different at the 95% confidence level across all time periods.
LivesMatter during December 20th and April 26th pe-riods, similar to what we found in the JSD word shiftgraphs. On the other hand, hashtags depicting stronganti-police sentiment such as #killercops, #policestate,and #fuckthepolice appear almost exclusively in #Black-LivesMatter and are absent from #AllLivesMatter. Thealignment of #AllLivesMatter with police lives coincideswith a broader alignment with the conservative sphereof Twitter that is apparent through the topic networks.In several periods for #AllLivesMatter, #tcot is a cen-tral topic, as well as #pjnet (Patriots Journal Network),#wakeupamerica, and #defundplannedparenthood. Thehashtag #tcot also appears in several of the #BlackLives-Matter periods as well. This is to be expected, as Freelonet al. found that a portion of #BlackLivesMatter tweetswere hijacked by the conservative sphere of Twitter [20].
However, the hijacking of #BlackLivesMatter and con-tent injection of conservative views is a much smallercomponent of the #BlackLivesMatter topics as comparedto the respective hijacking of the #AllLivesMatter top-ics. As evidenced both by the network statistics andthe network visualizations themselves, the #BlackLives-Matter topic networks show that the conversations arediverse and multifaceted while the #AllLivesMatter net-works show conversations that are more limited in scope.Furthermore, #BlackLivesMatter is consistently a morecentral topic within the #AllLivesMatter networks than#AllLivesMatter is within the #BlackLivesMatter net-works. Thus, hijacking is more prevalent within #All-LivesMatter, while #BlackLivesMatter users are able tomaintain diverse conversations and delegate hijacking to
only a portion of the discourse.
C. Conversational Diversity
Having quantified both the word-level divergences andthe large-scale topic networks, we now measure the in-formational diversity of #BlackLivesMatter and #All-LivesMatter more precisely. We do this through twoapproaches. First, we measure “lexical diversity,” thediversity of words other than hashtags. Second, we mea-sure the hashtag diversity. We measure these diversitiesusing the effective diversity described in Eqn. 2 in Sec-tion II B. Furthermore, to account for the different vol-ume of #BlackLivesMatter and #AllLivesMatter tweets,we break the time scale down into months and subsample2,000 tweets from each hashtag 1,000 times, calculatingthe effective diversities each time. The results are shownin Figure 8.
The lexical diversity of #BlackLivesMatter is largerthan #AllLivesMatter in eight of the ten months withan average lexical diversity that is 5% more than thatof #AllLivesMatter. Interestingly, the two cases where#AllLivesMatter has higher lexical diversity are in thetwo periods when there were large non-police-involvedshootings of people of color and #AllLivesMatter wasused as a hashtag of solidarity. However, the more strik-ing differences are in terms of hashtag diversity. On av-erage, the hashtag diversity of #BlackLivesMatter is sixtimes that of #AllLivesMatter. This is in line with ournetwork analysis where we found expansive #BlackLives-
11
Matter topic networks and tightly clustered, less diverse#AllLivesMatter topic networks.
The low hashtag diversity of #AllLivesMatter is rela-tively constant. One could imagine that the lack of di-versity in the topics of #AllLivesMatter is a result of afocused conversation that does not deviate from its mainmessage. However, as we have demonstrated through theJSD word shift graphs and topic networks, the conver-sation of #AllLivesMatter does change and evolve withrespect to the different time periods. We see mentionsof the major deaths and events of these periods within#AllLivesMatter, even if they do not rank as highly interms of topic centrality. So, even though both protesthashtags have overlap on many of the major topics, thediversity of topics found within #BlackLivesMatter farexceeds that of #AllLivesMatter, even when accountingfor volume.
IV. DISCUSSION.
Through a multi-level analysis of #BlackLivesMatterand #AllLivesMatter tweets, ranging from the word levelto the topic level, we have demonstrated key differencesbetween the two protest groups. Although one of thesedifferences has been proportionally higher discussion ofBlack deaths in #BlackLivesMatter, it is important tonote that #AllLivesMatter is not completely devoid ofdiscussion about these deaths. For instance, #riper-icgarner is prominent within #AllLivesMatter follow-ing the death of Eric Garner, #iamame (“I am AfricanMethodist Episcopal”) contributes more to #AllLives-Matter following the Charleston Church shooting, andthe names of several Black Americans appear in the #Al-lLivesMatter topic networks. However, many of thesesigns of solidarity are associated with low diversity. Inlight of this, it is also important to note that there isa lack of discussion of other deaths within #AllLives-Matter. That is, in examining several of the main peri-ods where #AllLivesMatter spikes, only the Chapel Hillshooting period (Figures 4 and B7) shows discussion ofnon-Black deaths.
The word shift graphs and topic networks reveal thatthe only other lives that are significantly discussed within#AllLivesMatter are the lives of law enforcement officers,particularly during times in which there is heavy protest-ing. Although the notions of “Black Lives Matter” and“Police Lives Matter” are not necessarily mutually exclu-sive [29], we see that the conversations within #AllLives-Matter often frame Black protesters versus law enforce-ment with an“us versus them” mentality. This framingechoes the ways in which media outlets have historicallyframed the tension between Black protesters and law en-forcement [58–60], where police officers and protesters areseen as “enemy combatants” [28] and such movements
appear to “jeopardize law enforcement lives” [29]. So,by facilitating this opposition, #AllLivesMatter becomesthe center of upholding historically contentious views inthe midst of what some consider the New Civil RightsMovement.
In line with Freelon et al.’s findings, we have uncoveredhijacking of #BlackLivesMatter by #AllLivesMatter ad-vocates [20]. Such hijacking is similar to the contentinjection described by Conover et al. [30], where onegroup adopts the hashtag of politically opposed group inorder to inject their ideological beliefs. Such content in-jection has also between found in the work of Egyptianpolitical polarization [34]. However, a significant por-tion #AllLivesMatter hijacking by #BlackLivesMattersupporters is not simple content injection. Rather, advo-cates of #BlackLivesMatter often use #AllLivesMatterto directly interrogate the stance of “All Lives Matter”and the worldview implied by that phrase. Furthermore,such discussions have largely been relegated to #All-LivesMatter, allowing #BlackLivesMatter to exhibit di-verse conversations about a variety of topics. Althoughpast research has expressed concern that #AllLivesMat-ter would derail from the movement started by #Black-LivesMatter [26, 28, 29, 61], our data-driven approachhas allowed us to uncover that #BlackLivesMatter hascountered #AllLivesMatter content injection.
We were largely able to unpack these narratives bylooking not just as hashtag trends and curated term lists,as in previous studies, but at the entirety of the text andhow it is structured at both the word and topic levels. Inthis sense, our work falls closer to that of researchers whohave constructed networks of these protest movements toinform largely qualitative research [5, 21, 36], rather thanresearch that focuses solely on the topological propertiesof the networks. Our methods generalize to studyinghow the discourse of two or more protest movements di-verge from one another and how these differences can becaptured at the word and topic levels. Furthermore, byintegrating diversities within our divergence analysis, wehave shown how we can measure word-level differencesbetween protests and counter-protests in such a way thatfacilitates follow-up qualitative investigation of how ex-actly those words contribute to the divergence. Overall,these tools provide an avenue for exploring more of thedata narratives between #BlackLivesMatter and #All-LivesMatter, and other instances of political polarization.
ACKNOWLEDGEMENTS
All authors would like to thank the members of theComputational Story Lab for their feedback and sup-port. They would also like to thank James Bagrow for hishelpful suggestions. PSD and CMD acknowledge supportfrom NSF Big Data Grant #1447634.
12
[1] M. D. Conover, E. Ferrara, F. Menczer, and A. Flammini.The digital evolution of Occupy Wall Street. PloS ONE,8(5):e64679, 2013.
[2] N. Caren and S. Gaby. Occupy online: Facebook andthe spread of Occupy Wall Street. Available at SSRN1943168, 2011.
[3] K. M. DeLuca, S. Lawson, and Y. Sun. Occupy WallStreet on the public screens of social media: The manyframings of the birth of a protest movement. Communi-cation, Culture & Critique, 5(4):483–509, 2012.
[4] P. N. Howard, A. Duffy, D. Freelon, M. M. Hussain,W. Mari, and M. Mazaid. Opening closed regimes: Whatwas the role of social media during the Arab Spring?Available at SSRN 2595096, 2011.
[5] Z. Papacharissi and M. de Fatima Oliveira. Affectivenews and networked publics: The rhythms of newsstorytelling on #Egypt. Journal of Communication,62(2):266–282, 2012.
[6] E. Anduiza, C. Cristancho, and J. M. Sabucedo. Mo-bilization through online social networks: The politicalprotest of the Indignados in Spain. Information, Com-munication & Society, 17(6):750–764, 2014.
[7] S. Gonzalez-Bailon and N. Wang. Networked discontent:The anatomy of protest campaigns in social media. Socialnetworks, 44:95–104, 2016.
[8] M. D. Conover, C. Davis, E. Ferrara, K. McKelvey,F. Menczer, and A. Flammini. The geospatial charac-teristics of a social movement communication network.PLoS ONE, 8(3):e55957, 2013.
[9] S. Gonzalez-Bailon, J. Borge-Holthoefer, A. Rivero, andY. Moreno. The dynamics of protest recruitment throughan online network. Scientific reports, 1(197), 2011.
[10] Z. C. Steinert-Threlkeld, D. Mocanu, A. Vespignani, andJ. Fowler. Online social networks and offline protest. EPJData Science, 4(1):1–9, 2015.
[11] J. Larson, J. Nagler, J. Ronen, and J. Tucker. Socialnetworks and protest participation: Evidence from 93million twitter users. In Political Networks Workshops &Conference, 2016.
[12] H. S. Christensen. Political activities on the Internet:Slacktivism or political participation by other means?First Monday, 16(2), 2011.
[13] P. Barbera, N. Wang, R. Bonneau, J. T. Jost, J. Na-gler, J. Tucker, and S. Gonzalez-Bailon. The criticalperiphery in the growth of social protests. PLoS ONE,10(11):e0143611, 2015.
[14] J. Borge-Holthoefer, N. Perra, B. Goncalves,S. Gonzalez-Bailon, A. Arenas, Y. Moreno, andA. Vespignani. The dynamics of information-drivencoordination phenomena: A transfer entropy analysis.Science Advances, 2(4), 2016.
[15] H. Qi, P. Manrique, D. Johnson, E. Restrepo, and N. F.Johnson. Open source data reveals connection betweenonline and on-street protest activity. EPJ Data Science,5(1):1, 2016.
[16] A. Garza. A herstory of the #blacklivesmat-ter movement. The Feminist Wire (2014).http://www.thefeministwire.com/2014/10/blacklivesmatter-2/. Accessed 20 June 2016.
[17] F. C. Harris. The next civil rights movement? Dissent,62(3):34–40, 2015.
[18] J. C. Kang. our demand is simple: Stop killingus: How a group of Black social media ac-tivists built the nations first 21st-century civilrights movement. New York Times (2015).http://www.nytimes.com/2015/05/10/magazine/our-demand-is-simple-stop-killing-us.html. Accessed 20 June2016.
[19] O. Tometi and G. Lenoir. Black Lives Mat-ter is not a civil rights movement. Time (2015).http://time.com/4144655/international-human-rights-day-black-lives-matter/. Accessed 20 June 2016.
[20] D. G. Freelon, C. D. McIlwain, and M. D. Clark. Be-yond the hashtags: #ferguson, #blacklivesmatter, andthe online struggle for offline justice. Available at SSRN,2016.
[21] S. J. Jackson and B. Foucault Welles. #ferguson is every-where: Initiators in emerging counterpublic networks. In-formation, Communication & Society, pages 1–22, 2015.
[22] Y. Bonilla and J. Rosa. #ferguson: Digital protest, hash-tag ethnography, and the racial politics of social mediain the united states. American Ethnologist, 42(1):4–17,2015.
[23] A. Olteanu, I. Weber, and D. Gatica-Perez. Charac-terizing the demographics behind the #blacklivesmattermovement. arXiv preprint arXiv:1512.05671, 2015.
[24] D. Freelon, C. McIlwain, and M. Clark. Quantifying thepower and consequences of social media protest. NewMedia & Society, page 1461444816676646, 2016.
[25] M. Twyman, B. C. Keegan, and A. Shaw. Black livesmatter in Wikipedia: Collaboration and collective mem-ory around online social movements. arXiv preprintarXiv:1611.01257, 2016.
[26] M. Orbe. #alllivesmatter as post-racial rhetorical strat-egy. Journal of Contemporary Rhetoric, 5(3/4):90–98,2015.
[27] T. Husband Jr. i dont see color: Challenging assump-tions about discussing race with young children. EarlyChildhood Education Journal, 39(6):365–371, 2012.
[28] R. Rickford. Black lives matter toward a modern practiceof mass struggle. In New Labor Forum, volume 25, pages34–42. SAGE Publications, 2016.
[29] C. L. Langford and M. Speight. #blacklivesmatter: Epis-temic positioning, challenges, and possibilities. Journalof Contemporary Rhetoric, 5(3/4):78–89, 2015.
[30] M. Conover, J. Ratkiewicz, M. R. Francisco,B. Goncalves, F. Menczer, and A. Flammini. Po-litical polarization on Twitter. ICWSM, 133:89–96,2011.
[31] M. D. Conover, B. Goncalves, A. Flammini, andF. Menczer. Partisan asymmetries in online political ac-tivity. EPJ Data Science, 1(1):1–19, 2012.
[32] L. Bode, A. Hanna, J. Yang, and D. V. Shah. Candidatenetworks, citizen clusters, and political expression strate-gic hashtag use in the 2010 midterms. The ANNALS ofthe American Academy of Political and Social Science,659(1):149–165, 2015.
[33] M. Tremayne. Anatomy of protest in the digital era: Anetwork analysis of twitter and occupy wall street. SocialMovement Studies, 13(1):110–126, 2014.
[34] J. Borge-Holthoefer, W. Magdy, K. Darwish, and I. We-ber. Content and network dynamics behind egyptian
13
political polarization on twitter. In Proceedings of the18th ACM Conference on Computer Supported Cooper-ative Work & Social Computing, pages 700–711. ACM,2015.
[35] I. Weber, V. R. K. Garimella, and A. Batayneh. Secularvs. islamist polarization in egypt on twitter. In Proceed-ings of the 2013 IEEE/ACM International Conference onAdvances in Social Networks Analysis and Mining, pages290–297. ACM, 2013.
[36] S. J. Jackson and B. Foucault Welles. Hijacking#myNYPD: Social media dissent and networked coun-terpublics. Journal of Communication, 65(6):932–952,2015.
[37] E. McClam. Ferguson cop Darren Wilson not indictedin shooting of Michael Brown. NBC News (2014).http://www.nbcnews.com/storyline/michael-brown-shooting/ferguson-cop-darren-wilson-not-indicted-shooting-michael-brown-n255391. Accessed 20 June2016.
[38] R. Sanchez and S. Prokupecz. Protests after N.Y. cop notindicted in chokehold death; Feds reviewing case. CNN(2014). http://www.cnn.com/2014/12/03/justice/new-york-grand-jury-chokehold/. Accessed 20 June 2016.
[39] B. Muller and A. Baker. 2 N.Y.P.D. of-ficers killed in Brooklyn ambush; Suspectcommits suicide. New York Times (2014).http://www.nytimes.com/2014/12/21/nyregion/two-police-officers-shot-in-their-patrol-car-in-brooklyn.html.Accessed 20 June 2016.
[40] S. Ahmed and C. E. Shoichet. 3 students shot todeath in apartment near UNC Chapel Hill. CNN(2015). http://www.cnn.com/2015/02/11/us/chapel-hill-shooting/. Accessed 20 June 2016.
[41] E. Ramirez. Grammys 2015: PharrellWilliams, Beyonce, Prince pay tribute to BlackLives Matter movement. Billboard (2015).http://www.billboard.com/articles/events/grammys-2015/6465687/grammys-2015-pharrell-williams-beyonce-prince-black-lives-matter-hands-up-dont-shoot. Accessed20 June 2016.
[42] C. Elmore and D. MacDougall. Man shot and killedby North Charleston police officer after traffic stop;sled investigating. The Post and Courier (2015).http://www.postandcourier.com/article/20150404/PC16/150409635/1180/. Accessed 2016/06/20.
[43] D. A. Graham. The mysterious deathof Freddie Gray. The Atlantic (2015).http://www.theatlantic.com/politics/archive/2015/04/the-mysterious-death-of-freddie-gray/391119/. Accessed 20June 2016.
[44] T. Berenson. Everything we know aboutthe Charleston shooting. Time (2015).http://time.com/3926112/charleston-shooting-latest/.Accessed 20 June 2016.
[45] J. Schuppe. The death of Sandra Bland:What we know so far. NBC News (2015).http://www.nbcnews.com/news/us-news/death-sandra-bland-what-we-know-so-far-n396036. Accessed 20 June2016.
[46] L. Jost. Entropy and diversity. Oikos, 113(2):363–375,2006.
[47] J. Lin. Divergence measures based on the shannonentropy. Information Theory, IEEE Transactions on,37(1):145–151, 1991.
[48] E. A. Pechenick, C. M. Danforth, and P. S. Dodds. Char-acterizing the Google Books corpus: strong limits to in-ferences of socio-cultural and linguistic evolution. PLoSONE, 10(10):e0137041, 2015.
[49] E. A. Pechenick, C. M. Danforth, and P. S. Dodds. Islanguage evolution grinding to a halt?: Exploring thelife and death of words in english fiction. arXiv preprintarXiv:1503.03512, 2015.
[50] K. W. Boyack, D. Newman, R. J. Duhon, R. Klavans,M. Patek, J. R. Biberstine, B. Schijvenaars, A. Skupin,N. Ma, and K. Borner. Clustering more than two mil-lion biomedical publications: Comparing the accuraciesof nine text-based similarity approaches. PLoS ONE,6(3):e18029, 2011.
[51] M. A. Smith, L. Rainie, B. Shneiderman, and I. Himel-boim. Mapping Twitter topic networks: From polarizedcrowds to community clusters. Pew Research Center, 20,2014.
[52] D. M. Romero, B. Meeder, and J. Kleinberg. Differ-ences in the mechanics of information diffusion acrosstopics: Idioms, political hashtags, and complex conta-gion on Twitter. In Proceedings of the 20th InternationalConference on World Wide Web, pages 695–704. ACM,2011.
[53] M. A. Serrano, M. Boguna, and A. Vespignani. Extract-ing the multiscale backbone of complex weighted net-works. Proceedings of the National Academy of Sciences,106(16):6483–6488, 2009.
[54] V. D. Blondel, J.-L. Guillaume, R. Lambiotte, andE. Lefebvre. Fast unfolding of communities in large net-works. Journal of statistical mechanics: theory and ex-periment, 2008(10):P10008, 2008.
[55] M. E. Newman and M. Girvan. Finding and evaluat-ing community structure in networks. Physical review E,69(2):026113, 2004.
[56] M. Girvan and M. E. Newman. Community structurein social and biological networks. Proceedings of the na-tional academy of sciences, 99(12):7821–7826, 2002.
[57] L. Page, S. Brin, R. Motwani, and T. Winograd. Thepagerank citation ranking: Bringing order to the web.Technical report, Stanford InfoLab, 1999.
[58] T. A. Van Dijk. Race, riots and the press an analysisof editorials in the british press about the 1985 disor-ders. International Communication Gazette, 43(3):229–253, 1989.
[59] T. A. Van Dijk. New (s) racism: A discourse analyticalapproach. Ethnic minorities and the media, pages 33–49,2000.
[60] J. A. B. Lackey. Framing Social Protest: How LocalNewspapers Covered the University of Georgia Desegre-gation Protests in January, 1961. 2005.
[61] N. Carney. All lives matter, but so does race black livesmatter and the evolving role of social media. Humanity& Society, 40(2):180–199, 2016.
14
Appendix A: JSD Word Shift Graphs
3.0 2.0 1.0 0.0 1.0 2.0 3.0Contribution
(% of total JSD = 0.0738 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
partsolidarity
changedont
#whereisjusticeenough
vssphincter
livesnycbreakingshut#thisstopstodayprotest
#rednationrisingpointunity
students#shocking
#shutitdownerasure
diein#policelivesmatter
awaymakes
#seattlegoingfocus
gogot
total#ferguson
missing#nypd
tagequalitystarted
#womblifematterssaying
#icantbreathe#ericgarner
nailsfeed
problemkris
straubsimple3panel
patreoncomic
JSD Word ContributionsDecember 03, 2014 to December 09, 2014
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. A1. Jensen-Shannon divergence word shift graph forthe week following the non-indictment of Daniel Pantaleo.See main text and the caption of Fig. 2 for an explanationof the word shift graphs. The leading contributors tothe divergence on the side of #AllLivesMatter are due toa popular retweet discussing a “3-panel” sketch “comic”that describes what the “problem” with #AllLivesMatteris.
8.0 6.0 4.0 2.0 0.0 2.0 4.0Contribution
(% of total JSD = 0.7811 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
rantwingtimeracistcopsanyoneconvictedsee#ericgarner#trayvonmartinmakes#blackgirlsrockvictoryviaoldchris29dontpauldoesntturnedyrsrelevantampanotherchargedtonightmanmurderbackcoverkilledvideolet#fergusonstillpoliceblackunarmed
#walterscottkenyadidntdead
left147
universitymassacre
happenbarelytalked
JSD Word ContributionsApril 04, 2015 to April 10, 2015
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. A2. Jensen-Shannon divergence word shift graphfor the week following the death of Walter Scott. Seemain text and the caption of Fig. 2 for an explanationof the word shift graphs. The leading contributors tothe divergence on the side of #AllLivesMatter are due toa popular retweet that asks why people are not payingattention to a school massacre that occurred in Kenya.This retweet is persistent, which is why the words “kenya”and “massacre” appear in later dates, such as in Fig. 5
.
15
3.0 2.0 1.0 0.0 1.0 2.0Contribution
(% of total JSD = 0.1655 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
wantedseven
resistwave
usehope
#cdcwhistleblowerterrorism
gives#wewillshootback
redsave
#wakeupamericawheres#pjnet
didntarrestconfederate
failedbleeduseful
flagsdivide
#itsaracething#policelivesmatter
conquer#whiteprivilege
dangerspilled
replyingeasy
#charlestonunitychaingovernments
okall#alllivesmatter
conquersmarxist
unites#racism
#charlestonstrongwhose
#yulindogmeatfestivalheartrendinghorrifying
messagefoolsim
#iamameequalityrooting
JSD Word ContributionsJune 17, 2015 to June 23, 2015
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. A3. Jensen-Shannon divergence word shift for theweek following the Charleston church shooting. See maintext and the caption of Fig. 2 for an explanation of theword shift graphs.
4.0 2.0 0.0 2.0 4.0 6.0Contribution
(% of total JSD = 0.1806 bits)
50
45
40
35
30
25
20
15
10
5
1
Rank
facereassured
viralexercising
simpleswear
demandblacknoise
usekilling
amazingjustice#justiceforsandrabland
matterwould
trollinginvestigate
#prolife#whathappenedtosandrablandfolks#doj
picturevs
rathercirculatingimages#blackwomenmatterwrongheartmadeconfirmationknewcoldwtf#justiceformonroebird#monroebird
saywell
definemovie
#sayhername#sandrabland
arentsaying
shootingchurchesschools
theatersyall
JSD Word ContributionsJuly 21, 2015 to July 27, 2015
10 5 0 5 10
#AllLivesMatter #BlackLivesMatter
FIG. A4. Jensen-Shannon divergence word shift for theweek encapsulating outrage over the death of SandraBland. See main text and the caption of Fig. 2 for anexplanation of the word shift graphs.
16
Appendix B: Hashtag Topic Networks
0.00
0.02
0.04
0.06
0.08
0.10
Perc
ent
of
Ori
gin
al H
ash
tag N
etw
ork
Hashtag Network vs. Significance Level - #BlackLivesMatter
α = 0.05 α = 0.04 α = 0.03 α = 0.02 α = 0.01
Dec 2014
Jan 2015
Feb 2015
Mar 2015
Apr 2015
May 2015
Jun 2015
Jul 2015
Aug 2015
Time (Periods of Interest)
0.00
0.02
0.04
0.06
0.08
0.10
Perc
ent
of
Ori
gin
al H
ash
tag N
etw
ork
Hashtag Network vs. Significance Level - #AllLivesMatter
FIG. B1. Percent of original hashtag network maintained for #BlackLivesMatter (top) and #AllLivesMatter (bottom) at eachof the periods of interest for varying levels of the disparity filter significance level. We wish to filter as much of the network aspossible, while avoiding sudden reductions in the number of nodes in the network. Note, when going from α = 0.03 to α = 0.02,the February 8th #BlackLivesMatter and July 21st #AllLivesMatter networks fall in size by a factor of approximately onehalf. Therefore, we choose α = 0.03.
#BlackLivesMatter Nodes % Original Nodes Edges Clustering
Nov. 24–Nov. 30, 2014 270 8.21% 526 0.0598Dec. 3–Dec. 9, 2014 389 6.86% 912 0.0645Dec. 20–Dec. 26, 2014 209 6.66% 439 0.1537Feb. 8–Feb. 14, 2015 76 5.16% 107 0.1744Apr. 4–Apr. 10, 2015 85 4.38% 121 0.0893Apr. 26–May 2, 2015 266 6.30% 547 0.1030Jun. 17–Jun. 23, 2015 176 6.70% 269 0.07690Jul. 21–Jul. 27, 2015 233 6.67% 435 0.0926#AllLivesMatter
Nov. 24–Nov. 30, 2014 29 6.43% 40 0.1200Dec. 3–Dec. 9, 2014 31 3.92% 51 0.2801Dec. 20–Dec. 26, 2014 49 4.72% 86 0.2626Feb. 8–Feb. 14, 2015 24 4.67% 30 0.1521Apr. 4–Apr. 10, 2015 8 2.15% 7 0.0000Apr. 26–May 2, 2015 41 4.45% 71 0.1967Jun. 17–Jun. 23, 2015 23 4.77% 33 0.4909Jul. 21–Jul. 27, 2015 45 5.82% 61 0.1010
TABLE B1. Summary statistics for topic networks created from the full hashtag networks using the disparity filter at thesignificance level α = 0.04 [53].
17
#BlackLivesMatter Nodes % Original Nodes Edges Clustering
Nov. 24–Nov. 30, 2014 298 9.07% 583 0.0590Dec. 3–Dec. 9, 2014 444 7.83% 1025 0.0595Dec. 20–Dec. 26, 2014 227 7.24% 485 0.1494Feb. 8–Feb. 14, 2015 82 5.57% 119 0.1946Apr. 4–Apr. 10, 2015 99 5.10% 139 0.0905Apr. 26–May 2, 2015 294 6.96% 607 0.0976Jun. 17–Jun. 23, 2015 190 7.23% 305 0.0795Jul. 21–Jul. 27, 2015 250 7.15% 475 0.0898#AllLivesMatter
Nov. 24–Nov. 30, 2014 29 6.43% 40 0.1200Dec. 3–Dec. 9, 2014 37 4.68% 62 0.2456Dec. 20–Dec. 26, 2014 54 5.21% 94 0.2500Feb. 8–Feb. 14, 2015 24 4.67% 30 0.1521Apr. 4–Apr. 10, 2015 10 2.69% 9 0.0000Apr. 26–May 2, 2015 44 4.77% 76 0.1944Jun. 17–Jun. 23, 2015 23 4.77% 33 0.4909Jul. 21–Jul. 27, 2015 47 6.08% 66 0.1151
TABLE B2. Summary statistics for topic networks created from the full hashtag networks using the disparity filter at thesignificance level α = 0.05 [53].
18
#BlackLivesMatter #AllLivesMatterTop Hashtags Betweenness Top Hashtags Betweenness
Nov. 24–Nov. 30, 2014
1. ferguson2. mikebrown3. standup4. tamirrice5. truth6. fergusondecision7. arrestdarrenwilson8. justiceformikebrown9. shutitdownatl10. alllivesmatter
0.83560.15840.08450.08350.08040.79350.0716.0.07040.06450.0488
1. blacklivesmatter2. ferguson3. policebrutality4. mikebrown5. fergusondecision
0.61160.45500.17330.15660.1566
Dec. 3–Dec. 9, 2014
1. icantbreathe2. ericgarner3. ferguson4. civilrights5. shutitdown6. lebronjames7. rip8. cantbreathe9. mikebrown10. nojusticenopeace
0.44340.41260.27060.09520.09390.08230.06540.06240.06110.0514
1. blacklivesmatter2. shutitdown3. ferguson4. ericgarner5. policebrutality6. tcot7. icantbreathe8. miami9. crimingwhilewhite10. handsupdontshoot
0.51530.34900.28270.27500.20450.19080.16930.06670.06670.0114
Dec. 20–Dec. 26, 2014
1. icantbreathe2. ferguson3. antoniomartin4. shutitdown5. ny6. handsupdontshoot7. racism8. obama9. mlk10. justice
0.52290.29380.21050.15750.11740.10120.09480.94110.07020.0640
1. nypd2. policelivesmatter3. blacklivesmatter4. icantbreathe5. bluelivesmatter6. ferguson7. handsupdontshoot8. nyc9. nojusticenopeace10. ericgarner
0.48840.33070.30640.24610.20120.18330.16790.14610.09870.0910
Feb. 8–Feb. 14, 2015
1. blackhistorymonth2. grammys3. bhm4. muslimlivesmatter5. alllivesmatter6. bluelivesmatter7. ferguson8. icantbreathe9. ericgarner10. racist
0.65040.55490.49870.49610.47690.39380.32260.27790.18410.1445
1. muslimlivesmatter2. blacklivesmatter3. chapelhillshooting4. jewishlivesmatter5. whitelivesmatter6. ourthreewinners
0.56610.37500.31610.22790.017640.1323
Apr. 4–Apr. 10, 2015
1. walterscott2. blacktwitter3. icantbreathe4. alllivesmatter5. ripwalterscott6. p27. tcot8. kendrickjohnson9. ferguson10. racism
0.80830.23070.15020.14880.14670.10610.06450.06450.05920.0558
1. blacklivesmatter 1.0000
Apr. 26–May 2, 2015
1. freddiegray2. baltimore3. blackpower4. baltimoreriots5. baltimoreuprising6. ferguson7. solidarity8. baltimore9. mayday10. alllivesmatter
0.45340.34410.22580.21200.18010.15180.11590.10020.08420.0833
1. blacklivesmatter2. peace3. baltimoreriots4. baltimore5. justice6. policelivesmatter7. freddiegray8. bluelivesmatter9. baltimoreuprising10. asianlivesmatter
0.65310.31980.25150.22890.13210.11180.09750.07200.05400.0270
Jun. 17–Jun. 23, 2015
1. charlestonshooting2. charleston3. tcot4. confederateflag5. racheldolezal6. blacktwitter7. usa8. baltimore9. love10. staywoke
0.63210.43360.17270.15470.11680.10470.09430.09040.07940.0792
1. charlestonshooting2. blacklivesmatter3. bluelivesmatter4. gunsense5. 2a6. pjnet7. gohomederay8. ferguson9. wakeupamerica10. tcot
0.66670.62380.49680.25710.18570.18090.09520.09520.00150.0015
Jul. 21–Jul. 27, 2015
1. sandrabland2. sayhername3. justiceforsandrabland4. blacktwitter5. alllivesmatter6. wewantanswers7. blackpower8. sandra9. m4bl10. blm
0.70380.19850.15330.13850.11540.11530.11280.08910.07310.0656
1. blacklivesmatter2. tcot3. policebrutality4. uniteblue5. sandrabland6. pjnet7. justiceforsandrabland8. defundplannedparenthood9. wakeupamerica10. whathappenedtosandrabland
0.78420.36890.21770.17940.17540.14110.12090.11890.10280.0625
TABLE B3. The top 10 hashtags in the topic networks as determined by betweenness centrality for each time period. Some#AllLivesMatter topic networks have less than 10 top nodes due to the relatively small size of the networks. For example, inthe period of April 4th, the #AllLivesMatter network consists of #blacklivesmatter as a hub with six edges connecting it tosix other hashtags. Thus, #blacklivesmatter is the only node visited when calculating paths for betweenness.
19
#BlackLivesMatter #AllLivesMatterTop Hashtags PageRank Top Hashtags PageRank
Nov. 24–Nov. 30, 2014
1. ferguson2. mikebrown3. fergusondecision4. shutitdown5. michaelbrown6. blackoutblackfriday7. boycottblackfriday8. justiceformikebrown9. notonedime10. america
0.22990.07780.05040.03430.02580.02380.02030.01970.01760.0161
1. blacklivesmatter2. ferguson3. fergusondecision4. mikebrown5. nycprotest6. williamsburg7. brownlivesmatter8. whitelivesmatter9. sf10. blackfridayblackout
0.26470.23710.05750.05090.03970.03170.02390.02350.02240.0210
Dec. 3–Dec. 9, 2014
1. ericgarner2. icantbreathe3. ferguson4. mikebrown
5. nypd6. shutitdown7. handsupdontshoot8. thisstopstoday9. seattle10. policebrutality
0.19740.15480.08600.02960.02860.02510.01830.01510.01420.0140
1. blacklivesmatter2. icantbreathe3. ericgarner4. ferguson5. tcot6. wecantbreathe7. mikebrown8. handsupdontshoot9. rednationrising10. shutitdown
0.20520.13970.12950.07280.04040.03790.03710.03550.02680.0267
Dec. 20–Dec. 26, 2014
1. icantbreathe2. ferguson3. shutitdown4. antoniomartin5. ericgarner6. nypdlivesmatter7. alllivesmatter8. moa9. nypd10. mikebrown
0.10430.05330.04500.03970.03330.03150.02560.02530.02470.0227
1. blacklivesmatter2. nypdlivesmatter3. nypd4. policelivesmatter5. ericgarner6. mikebrown7. bluelivesmatter8. icantbreathe9. nyc10. stolenlives
0.20420.09550.09450.06080.05690.04710.03280.03100.02910.0278
Feb. 8–Feb. 14, 2015
1. muslimlivesmatter2. alllivesmatter3. handsupdontshoot4. grammys5. mikebrown6. blackhistorymonth7. beyhive8. ferguson9. blacktwitter10. chapelhillshooting
0.14180.07300.06860.05750.04850.04670.04470.03380.02730.0244
1. muslimlivesmatter2. blacklivesmatter3. chapelhillshooting4. butinacosmicsensenothingreallymatters5. jewishlivesmatter6. christianslivesmatter7. buddhistlivesmatter8. whitelivesmatter9. rip10. hatecrime
0.31710.18150.17910.05820.05340.02180.02180.02140.01970.0181
Apr. 4–Apr. 10, 2015
1. walterscott2. ferguson3. ericgarner4. trayvonmartin5. blacktwitter6. icantbreathe7. mikebrown8. ftp9. alllivesmatter10. black
0.21410.08500.07080.06190.04920.03810.02310.02170.01750.0148
1. blacklivesmatter2. walterscott3. muslimlivesmatter4. whitelivesmatter5. icantbreathe6. ripwalterscott7. ifnotnowwhen
0.47100.22530.07050.06670.06290.05160.0516
Apr. 26–May 2, 2015
1. freddiegray2. baltimore3. baltimoreuprising4. baltimoreriots5. alllivesmatter6. ericgarner7. ferguson8. mayday9. blackspring10. michaelbrown
0.13620.11540.08500.07870.01530.01320.01280.01150.01080.0094
1. blacklivesmatter2. baltimoreriots3. baltimore4. freddiegray5. policelivesmatter6. baltimoreuprising7. tcot8. whitelivesmatter9. wakeupamerica10. prayforbaltimore
0.21040.14160.11150.07990.04270.04190.03270.03040.02050.0192
Jun. 17–Jun. 23, 2015
1. charlestonshooting2. racism3. charleston4. whiteprivilege5. blacktwitter6. ferguson7. itsaracething8. usa9. southcarolina10. alllivesmatter
0.16700.03610.03490.02170.02160.02030.01980.01970.01890.0186
1. blacklivesmatter2. iamame3. wakeupamerica4. pjnet5. bluelivesmatter6. tcot7. 2a8. charlestonshooting9. ohhillno10. cosproject
0.20590.14230.06990.06560.06480.06340.06020.03920.03780.0378
Jul. 21–Jul. 27, 2015
1. sandrabland2. sayhername3. justiceforsandrabland4. blackwomenmatter5. doj6. blacktwitter7. unitedblue8. alllivesmatter9. whathappenedtosandrabland10. tcot
0.20130.14490.04220.03520.02380.02010.01690.01630.01590.0132
1. blacklivesmatter2. sandrabland3. pjnet4. defundpp5. justiceforsandrabland6. uniteblue7. sayhername8. defundplannedparenthood9. tcot10. prolife
0.23020.09960.06610.05260.05050.04860.04720.04700.04560.0344
TABLE B4. The top 10 hashtags in the topic networks as determined by PageRank for each time period. Some #AllLivesMattertopic networks have less than 10 top nodes due to the relatively small size of the networks.
20
houston
blackdollarsmatter
justiceforall
michaelbrown
everylifematters
tamirrice
nopeace
ferguson2louisville
blackoutfriday
protest
london
thinkmoor
thanksgiving
repostfuckthepolice
police
prayforferguson
justice
staywoke
riots
oak2stl
policestate
blackfriday
black
dearferguson
justiceformichaelbrownlastwords
texas
mikebrownverdict
toronto
neverforget
umdfergusondc
blacklivesdontmatter
shutitdown
every28hours
ferguson
anonymous
occupystamp
fergusonoakland
trayvonmartin
boycottblackfriday
equality
marissaalexander
unionsquare
shutitdownnyc
michealbrowndetroit
anonymousopferguson
race
latinolivesmatter
truth
pdmfnb
londontoferguson
bartlockdown
blackout
noindictment
revolution
fight4justice
acab
alllivesmatter
brownlivesmatter
shutup
us
cleveland portland
clarkatlanta
equality4all
fergusondecision
brazil
ftp
onelove
rp
chicago
welcometony
ayotzinapa
immigrationaction
yamecanse
injustice
smh
cnn
brownfriday
akaigurley
losangeles
tcot
newyorkwewantjustice
nashville xula
riptrayvonmartin
ericgarner
nojusticeforblacks
fergsuon
opferguson
ohio
humanrights
obamathugs
changeopblackfriday
sanfrancisco
plannedparenthood
pdx
la
notonedime
nojusticenopeace
anon
walmart
demilitarizethepolice
umd
ferguson2oakland
austin
racismkills
atx
fergusonaction
uniteblue
johncrawford
love
streetart
vonderritmyers
spelman
racism
endpolicebrutality
whiteprivilege
soracist
blacktwitter
blackchildren
oakland
arrestdarrenwilson
ows
bart
fergusonphl
grandjury
libcribusa
peacefulprotest
taneshaanderson
onestruggle
indictthesystem
stoptheparade
nyc2ferguson
palestine
mikebrown
asianlivesmatter
blmlaitwasthestate
manchester
furgeson
ripmikebrown
mtvstars
morehouse
nomore
stoppolicebrutality
opdarrienhunt
nycprotest
danielholtzclaw
opkkk
dcferguson
standup
blackboysmatter
atlanta
nypd
stlouis
obama
p2
nonviolence
isis
sandiego
stl
mlk
abortion
shutitdownformikebrown
lmnopi
blackpower
ferguson2to
peaceinferguson
whitelivesmatter
blackfridaydeals
shutitdownatl
fergusiondecision
nojustice
yellowlivesmatter
peace
boston
policebrutality
rip
boycott
act2saveourlives
misuri
nerdland
civilrights
philly
fergusonsolidarity
wilson
seattle
prolife shaw
dallas
protestpeacefully
breaking
ny
indictamerica
auspol
nyc
personalprotestcrashcybermonday
handsup
walmartstrikers
itsbiggerthanyou
fueelestado
evangelicals4justice
whiteonwhitecrime
handsupdontshoot
blackoutblackfriday
blackfridayblackout
amerikkka
reprojustice
justiceformikebrown
fb
indictdarrenwilson
stolenlives
nojusticeformikebrownroxbury
justice4mikebrown
america
chi2ferguson
grandjurydecision
solidarity
fergusonverdict
darrenwilson
brownfridaychi
indictboston
don
endmilitarystylepolicing
fergusonprotest
standwithferguson
dontshoot
handsupdontspend
dayton
missouri
renishamcbrideericgardner
sf
solidaritywithferguson
FIG. B2. #BlackLivesMatter topic network for the week following the non-indictment of Darren Wilson.
michaelbrownpolicebrutality
brownlivesmatter
oakland
fergusondecision
mikebrownprayforferguson
justice
williamsburg
palestine
nyc
personalprotest
akaigurley
ripmikebrown
shutup
blackfridayblackout
nycprotest
justiceformikebrown
shutitdown
blacklivesmatter
trayvonmartin
boycottblackfriday
whiteprivilege
whitelivesmatter
sf
ferguson
FIG. B3. #AllLivesMatter topic network for the week following the non-indictment of Darren Wilson.
21
houston
torturereport
uchicagodiein
justiceforall
michaelbrown
jnu
berkeleyprotests
alivewhileblack
tamirrice
nopeace
asianlivesmatter
decriminalizeblack
protest
livingwhileblack
london
dontshootpdx
thinkmoor
anthros4ferguson
protests
chi2ferguson
wehearyoufuckthepolice
secchampionship
police
racialequality
la
paris
ferguson2miami
fergusonphl
oak2stl
policestate
foleysquare
kcwemustspeak
furgeson
nycprotest
kajiemepowell
lastwords
obama
naacp
texaskendrickjohnson
studentpower
royalvisitusa
lebronjames
justiceforericgarner
indictamerica
delhi
dc indigenous
ican
whereisjustice
shutitdown
timessquare
ferguson
anonymous
eric
trayvonmartin
aiyanajonesezellford
danielpantaleo
nerdland
ccot
equality
miami
policelivesmatter
shutitthefuckdownnfl
shutitdownnyc
michealbrown
detroit
eeuu
blackpower
handsup
truth
pdmfnb
toomanytoname
ohio
wecantbreathe
blackout
foley
revolution
cogic
acab
espn
alllivesmatter
artbasel
indigenouslivesmatter
foxnews
brownlivesmatter
ferguson2cal
crimingwhilewhite
us
thisendstodaywestsidehighway
englandnews
equality4all
d9diein
fergusondecision
rt
handsupdontshoot
bethechange
d6resist
maddow
chicago
justiceforreefa
icantbreathe
travonmartin
racisminamerica
unitebiue
injustice
cnn
whodoyouprotect
repost
christmas
hispaniclivesmatter
akaigurley
cbus2ferguson
tcot
tokyo4ferguson
newyork
berk2ferguson
boycottchristmas
retweet
charlesbarkley
lgbt
nojusticenoprofit
harvard
fergsuon
berkeley
local4
postracialamerica
mynypd
handsupwalkout
grandcentral
justicefortamirrice
downforbrown
sanfrancisco
whitesupremacy
unapologeticblack
pdx
notonedime
ericgarner
against
socialjustice
justice
anon
brooklynbridge
genocide
berkley
amadoudiallo
stopracism
itendstoday
baltimore
icouldbenext
duke
uniteblue
johncrawford
love
nojustice
enoughisenough
charlotte
egypt
cleveland
thisstopstodaypgh
icantbreatheuntil
ripericgarner
endpolicebrutality
nojusticenopeacenoracistpolice
diein
shutdown
allblacklivesmatter
vote
respect
humanrights
oakland
notonemore
ows
wechargegenocide
shutitdowndc
grandjury
usc
artbaselmiami
usa
rumainbrisbon
libcrib
racism
indictthesystem
nojusticeforericgarner
occupy
live
berkeleyprostests
racist
nyc2ferguson
gaza
palestine
mikebrown
cantbreathe
blmla
icantbreath
barclayscenter
bospoli
garner
ripmikebrown
stoptheviolence
punjabi
renishamcbride
stoppolicebrutality
abortion
uiuc
phillydiein
nomorebusinessasusual
cops
dontshoot
dcferguson
thetimeisnow
palestinianlivesmatter
standup
unt
atlanta
nypd
columbuscircle
nojusticenotree
tampa
blackouthollywood
p2
staywoke
legalizedlynching
itstopstoday
againstpolicebrutality
stl
mlk
changethenypd
royalshutdown
bluelivesmatter
seanbell
knowyourrights
noelnight
nojusticeinamerica
nmos
whiteprivilege
whitelivesmatter
statenisland
atlferguson
shutitdownatl
regram
boulder
noindictment
newyorkcity
ferguson2nyc
portland
boston
journeyforjustice
prochoice
india
policebrutality
rip
alaska
imatter
noracistpolice
nba
fergusoneverywhere
riverwalk
thisstopsnow
tcshutitdown
civilrights
philly
sikh
riptamirrice
rockcenterxmas
seattle
prolife
shaw
nojusticenopeace
art
mapoli
amerikkka
teargas
larryjackson
unite
aaa2014
ny
thesystemisbroken
ercigarner
rekiaboyd
auspol
nyc
boycottnypost
neworleans
ourlivesmatter
ramarleygraham
tsu
berkeleyprotest
pain
phoenix
ftp
memphis
blackoutblackfriday
peace
breaking
tbt
justiceformikebrown
brooklyn
peacefulprotest
peterpanlive
yamecanse2
blacktwitter
rp
america
handsupdontchoke
knowjusticeknowpeace
solidarity
darrenwilson
tokyo
plannedparenthood
oscargrant
inners
idlenomore
isis
jordandavis
thursdaynightfootball
dallas
nola
justice4reefa
taneshaanderson
every28hours
bodycameras
ayotzinapa
economicjustice
women
protestnyc
nomore
ericgardner
pjnet
livesmatter
sf
chokehold
fb
FIG. B4. #BlackLivesMatter topic network for the week following the non-indictment of Daniel Pantaleo.
justiceforall
michaelbrown
alivewhileblack
tamirricepolicebrutality
ripericgarner
brownlivesmattercrimingwhilewhite
kellythomas
handsupdontshoot
mikebrown
justice
icantbreathe
policestate
womblifematters
nyc
ourlivesmatter
tcot
rednationrising
ericgarner
shutitdown
blacklivesmatter
nypd
ferguson2miami
ccot miami
policelivesmatter
nojusticenopeace
whitelivesmatter
wecantbreathe
ferguson
FIG. B5. #AllLivesMatter topic network for the week following the non-indictment of Daniel Pantaleo.
22
bhm
livesmatter
itsonus
everylifematters
bhm2015
tamirrice
islamophobia
asianlivesmatter
mourningmonday
muslimlivesmatter
brownlivesmatter
christianlivesmatter
blacktwitter
oakland
blackbusiness
alllivesmatterprince
jewishlivesmatter
handsupdontshoot
mikebrown
blackhistoryyoudidntlearninschool
nojusticenopeace
justice
grammys2015butinacosmicsensenothingreallymatters
blackandproud
beyonce
racism
blackhistorymonth
humanlivesmatter
policestate
blackfriday14
racist
keepitmenace
withmuslims
black
islam
chapehillshooting
grammys
kobejordann
icantbreathe
muslimslivesmatter
darrenwilson
tcot
moorhistorymonth
selma
justiceformuslims
hoodiesup
ericgarner
muslims
translivesmatter
ferguson
nyc
chapelhillshooting
nativelivesmatter
p2
grandcentral
iris_messenger
glory
opicantbreathe
wakeupamerica
bluelivesmatter
blackfuturemonth
beyhive
sobu
shutitdownthisstopstoday
whitelivesmatter
visionsofablackfuture
moorishlivesmatter
FIG. B6. #BlackLivesMatter topic network for the week following the Chapel Hill shooting.
buddhistlivesmatter
chapelhillhatecrime
jewishlivesmatter
christianslivesmatter
islamophobia
butinacosmicsensenothingreallymatters
charliehebdo
rip
muslimlivesmatter
translivesmatter
blacklivesmatter
blacktwitter
chapelhillshooting
ourthreewinners
whitelivesmatter
chapehillshootingblackhistorymonth
FIG. B7. #AllLivesMatter topic network for the week following the Chapel Hill shooting.
23
uniteblue
michaelbrown
enoughisenough
tamirrice
feidinsantana
queen
thisstopstoday
foxnews
michaelslager
police
muslimlivesmatterfilmthepolice
blacktwitter
blackbusiness
alllivesmatter
walterscott
handsupdontshoot
inspiring
mikebrown
ifnotnowwhen
usa
policeshooting
justice
libcrib
icantbreathe
bringintheun
reclaimholyweekracism
princess
charleston
black
pjnet
professu
cnn
nycmorintoon
farrakhanatl
kendrickjohnson
murder
blackchurch
ramseyorta
tcot
ftp
march4kj
chsnews
selma
ripwalterscott
rednationrising
acab
cops
ericgarner
blackoutday
southcarolina
policebrutality nonewnypd
trayvonmartin
ferguson
nightofthelongknivesfreemumia
maddow
p2
stoppolice
whitelivesmatter
rip
ftw
blacktradelines
boycottindiegogo
northcharleston
bluelivesmatter
southcarolinashootingknowyourrights
nojusticenopeace
s
mlk
sc
every28hours
racismisreal
changetheworld
missing
shutdowna14
FIG. B8. #BlackLivesMatter topic network for the week following the death of Walter Scott.
ifnotnowwhen
walterscott
icantbreathe
muslimlivesmatter
blacklivesmatter
ripwalterscott
whitelivesmatter
FIG. B9. #AllLivesMatter topic network for the week following the death of Walter Scott.
24
houston
baltimoreuprising
michaelbrown
oaklandprotests
happeningnowtamirrice
cut50phillyisbaltimore
fergusontobaltimore
muslimlivesmatter
balitmoreuprising
protest
justiceforfreddiegray
tgdn
malcolmx
princepolicethepolice
repost
fuckthepolice
police
enoughisenough
la
justice
staywoke
natashamckenna
socialmedia
unity
denver
nyc
riots
policestate
undarated
justiceforfreddie
marilynmosby
maryland
swastika
texas
kendrickjohnson
selma
dc
whereistheleadershipinbaltimore
whereisjosephkent
shutitdown
asianlivesmatter
anonymous
freddiegrey
trayvonmartin
gunsense
baltimoreriots
ccot
phillipwhite
policelivesmatter
trayvonscott
baltimorenyc
abanks
rightnow
dvnlln
nigger
blackpower
salute
truth
blacktradelines
millionsmarchnyc
myahall
revolution
acab
baltimore2nyc
prayersallblacklivesmatter
foxnews
bluelivesmatter
every28hrs
detroit
fail
mayday2015
retweet
justice4freddie
rt
ftp
what
oakland
freddiegraychicago
prayforbaltimore
icantbreathe
oakland2baltimoreumes
onebaltimore
baltimorerebellion
bullcity
balitmoreriots
mayday
iceland
cnn
gop
blackgirlmagic
2a
tcot
terrencekellum
pdmfnb
tlot
terrancekellom
lgbt
ericgarnerbaltimoreprotest
news
peacebe
nyc2baltimore
ripfreddiegray
botl
pdx
wakeupamerica
nojusticenopeacebaltimorerising
baltimoreriot
stopracism
baltimore
fergusonaction
uniteblue
johncrawford
love
walterscott
boston2baltimore
baltimoreisrising
racism
whiteprivilege
nycriseup
blacktwitter
humanrights
alllivesmatter
ebony
jews
mayweatherpacquiao
mn2bmoremikebrown
libcrib
jew
usabmore
blacktranslivesmatter
philadelphia
baltimoreprotests
maydaysolidarity
occupy
quotes
baltimoremayor
palestine
fmg
orioles
newyork
israel
ainf
riot
stoppolicebrutality
tidalfacts
nycprotest
nyctobaltimore
dcferguson
minneapolis
atlanta
nypd
argentina
freediegray
p2
topprog
tidalforall
stl
mlk
chasenlife
soul
chi2baltimore
ebay
uk
whitelivesmatterows
americanlivesmatter
prayersforbaltimore
blacklives
boston
secondamendment
policebrutality
rip
whereisjusticeinbaltimore
rap
racist
blackbusiness
baltimorelootcrew
blackwomenslivesmatter
ericharris
seattle
hispaniclivesmatter
jerusalem
daca
peace
ourprotest
freddygray
killercops
bailtimoreriots
evencopslivesmatter
rekiaboyd
wakeup
shutdownthetword
dapa
eyery28hours
pjnet
blackspring
handsupdontshoot
uprising
amerikkka
hiphop
peacefulprotest
solidaritywithbaltimore
baltimorepolice
bcpd
america
restinpower
solidarity
laboragainstpoliceterror
harlem
oscargrant
nazi
philly
bmoreunited
makeachange
josephkent
fightfor15
ayotzinapa
ncat
media
nomore
balitmore
ericsheppard
unionsquareferguson
FIG. B10. #BlackLivesMatter topic network for the week encapsulating the peak of the Baltimore protests.
baltimoreuprising
love
baltimore2nyc
prayers
phillyriots
rednationrising
asianlivesmatter
muslimlivesmatter
protest
justiceforfreddiegray
freddiegray
bmore
staywoke
nepal
riots
evencopslivesmattertogetherwecan
tcotamericanlivesmatter
stoppolicebrutality
peace
policebrutality
ericgarner
blacklivesmatter
justice
peacebe
pjnet
ripfreddiegray
baltimoreriots
ccot
policelivesmatter
wakeupamerica
bluelivesmatter
prayforbaltimore
truth
whitelivesmatter baltimore
ferguson
FIG. B11. #AllLivesMatter topic network for the week encapsulating the peak of the Baltimore protests.
25
fifa
baltimoreuprising
amemassacre
tamirrice
gunsense
protest
unitedblue
civilrightsmovement
hatepeoplesmonday
whitefolkwork
motheremmanuel
sayhername
staywoke
socialmedia
ainf
takedowntheflag
black
boycottisraelneverforget
dylannroof
ame
patriot
ferguson
nonewnypd
trayvonmartin
haiti
hatecrime
blackempowerment
domesticterrorism
propheticgrief
bluekluxklan
ccot
apartheid
unionsquare
guns
transracial
race
2a
blacktradelines
charlestonchurchshooting
fairfax
gohomederay
england
prayers
mycity
foxnews
hoorayderay
ohhillno
freddiegray
takeitdown
undersiege
icantbreathe
ameshooting
icc4israel
racisminamerica
charlestonmassacre
prayersforcharleston
cnn
repost
gop
blackgirlmagic
notonemore
itsaracething
tcot
missing
chsshooting
freepalestine
emanuelameconfederatetakedown
biblestudy
saytheirnames
ericgarner
arneshabowers
morningjoe
usa
parenting
wakeupamerica
nojusticenopeace
bronx charleston
baltimore guncontrol
uniteblue
wewillshootback
love
walterscott
enoughisenough
notinournames
mediafail
whiteprivilege
lnybt
blacktwitter
notconservative
tntvote
alllivesmatter
tonyrobinson
jonstewart
mikebrown
libcrib
whitesupremacy
prince
racism
fairfield
occupy
racist
gaza
iamame
mckinney
churchmassacre
actualblacklivesmatter israel
confederateflag
youarehomederay
charelstonshooting
crushjimcrow
everywhere
southcarolina
policelivesmatter
whiteentitlement
melanin
nypd
stillbreathin
pjnet
p2
haitianlivesmatter
word
johncrawford
bluelivesmatter
us
muslimlivesmatter
buyblack
whitelivesmatter
potus
history
charlestonterrorism
clementapinckney
policebrutality
rip
derayishome
blackbusiness
prayforcharleston
historicblackchurch
terrorist
yourcity
breaking
charlestonshootingchurchshooting
nyc
terrorism
ericcasebolt
dominicanrepublic
blackspring
endracism
peace
dc
cbid
america
9candles
takedownthatflag
hillary2016
isis
standwithcharleston
sccharlestonstrong
harlem
racheldolezal
FIG. B12. #BlackLivesMatter topic network for the week following the Charleston church shooting.
gunsense
hilaryclinton
cosproject
ohhillno
charlestonshooting
deray
prayersforcharleston
gunfreezoneiamame
tcot
endracism
nra
ferguson
pjnet
muslimlivesmatter
wakeupamerica
bluelivesmatter
2a
charleston
whitelivesmatter
gohomederay
blacklivesmatter
FIG. B13. #AllLivesMatter topic network for the week following the Charleston church shoting.
26
nyc
michaelbrown tamirrice
millionmanmarch
muslimlivesmatter
facts
rexdalehenry
repost
fuckthepolice
suicide
police
sayhername
justice
staywoke
natashamckenna
portugalstandswithsandrabland
whitesupremacy
black
msnbc
texas
kendrickjohnson
neverforget
wallercounty
michaelsabbie
shutitdown
ferguson
anonymous
wakeup
trayvonmartin
lafayette
feelthebern
ccot
equality
ralkinajones
unionsquare
makeamericagreatagain
gop
jonathansanders
1u
indiaclarke
race
truth
justiceforsandrabland
kendrachapman
tntweeters
gohomederay
bernie
wakeupamerica
someonetellcnn
sandraspeaks
lnyhbt
arizonadefundpp
cleveland
brianencinia
retweetblackgirlsmatter
rt
stopkillingus
oakland
kimberleerandleking
freddiegray
maddow
newjersey
icantbreathe
defundplannedparenthood
rip
newark
racisminamerica
unitebiue
injustice
justiceforsandra
cnn
notallmen
justiceorelse
feminism
sandyspeaks
hispaniclivesmatter
akaigurley
hillaryclinton
cdcwhistleblower
tcot
newyork
sandrablandquestions
tlot
saytheirnames
lgbt
ericgarner
mustread
california
killedbycops
humanrights
millionpeoples
babyparts
nativelivesmatter
change
grandcentral
whathappenedtosandybland
usa
nn15
darriusstewart
richardlinyard
justiceforsandy
youth4bernie
systematicracism
nojusticenopeace
genocide
weneedjustice
justicefordarrius
charleston
blm
bernie2016
baltimoreuniteblue
blackgirlsrock
5t3f4n
enoughisenough
godbless
whitepeople
justiceforkindrachapman
youmatter
whiteprivilege
emmetttill
whathappenedtosandrabland
blacktwitter
allblacklivesmatter
m4bl
alllivesmatter
berniesoblack
blackouttwitter
libcrib
blackpower
deathbydemocrat
blacktranslivesmatter
racism
blackwomenmatter
babylivesmatter
teaparty
mikebrown
ppsellsbabyparts
wearegreen
brandonclaxton
assatashakur
notonmydime
weneedanswers
stoppolicebrutality
tentoomany
translivesmatter
justiceforblacklives
standup
nypd
memphis
pjnet
women
p2
sandrabland
lovewins
ripsandrablandstl
shaunking
bluelivesmatter
endofthegop
samueldubose
buyblack
whitelivesmatter
kindrachapman
history
sandystillspeaks
gamergate
710pepp
handsupdontshoot
policebrutality
kimberleeking
blackbusiness
sandrawasmurdered
nerdlandwewantanswers
handsupdontcrush
policelie
civilrights
racistuneducatednarcissist
blacklove
ifidieinpolicecustody
unity
thisiswhywefight
rekiaboyd
pepp
hearus
sandarabland
blackspring
ftp
endracism
iamsandrabland
sandybland
saveouryouth
blackoutday
ff
sandra
selfcare
america
restinpower
solidarity doj
hillary2016
plannedparenthood
justice4sandy
justice4sandrabland
dayofrage
austin
hillary
blackpeople
berniesanders
yesallwomen
ohhillno
myblackisbeautiful
m4blfree
FIG. B14. #BlackLivesMatter topic network for the week encapsulating outrage over the death of Sandra Bland.
unitebluepolicebrutality
muslimlivesmatter
defundppwhathappenedtosandrabland
blacktwitter
handsupdontcrush
prolife
racisminamerica
justice
badthingsarebad
sayhername
unity
imwithhuck
babylivesmatter
notallmen
ppsellsbabyparts
tcot
defundplannedparenthood
tlot
embarrassment
blacklivesmatter
pjnet
obama
sandrabland
ccot
nn15
wakeupamerica
bluelivesmatter
whathappened
justiceforsandrabland
stopracism
whitelivesmatter
FIG. B15. #AllLivesMatter topic network for the week encapsulating outrage over the death of Sandra Bland.