the java universal network/graph ... -...
TRANSCRIPT
![Page 1: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/1.jpg)
http://jung.sourceforge.net
The Java Universal Network/Graph Framework (JUNG):A Brief Tour
Joshua O’Madadhain (UCI)
Danyel Fisher (MSR), Tom Nelson (RABA Technologies)Scott White (UCI), Yan-Biao Boey (UCI)
![Page 2: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/2.jpg)
http://jung.sourceforge.net
What’s it for?
phenomenae pertaining to relationships/links collaborations, citations/hyperlinks, email,
biological systems, friendships, telecom networks, ecological and biological systems, Markov processes, Bayes nets...
SUNBELT 2000 270 People & Structural Holes Database to UCINET to Pajek to MAGE
![Page 3: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/3.jpg)
http://jung.sourceforge.net
Programmatic Solution
ProgrammableMake it easy to do the same thing again
ExtensibleIf you need a new routine, you can put it in yourself
LibraryCan be used in a server, a client, or as part of a
larger application Open Source
Take it apart and put it together some other wayFree!
![Page 4: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/4.jpg)
http://jung.sourceforge.net
What is JUNG?
Framework for the modeling, analysis, and visualization of graphs in Java
supports most types of graphs/networks separate, flexible visualization framework rich attribute structure (metadata) network event handling predicates (subsets, constraints, filtering, ...) extensive (and growing!) library of algorithms
![Page 5: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/5.jpg)
http://jung.sourceforge.net
Dependencies
Java (1.4.2+) Commons-Collections API (3.1)
http://jakarta.apache.org/commons/collections/Predicate, set operations, wrappers, data types (BidiMap)
CERN Colt API (1.2.0)http://dsd.lbl.gov/~hoschek/colt/matrix operations, statistics
Xerces (2.6.2)http://xml.apache.org/xerces2-j/index.htmlXML parsing
![Page 6: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/6.jpg)
http://jung.sourceforge.net
Overview
Creating a graph Annotating with data Filters Graph drawing Algorithms Demo
![Page 7: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/7.jpg)
http://jung.sourceforge.net
Creating a graph
Load from a file - Pajek - GraphML (XML)
Build from scratch- Create vertices individually- Specify edges
Generate from an algorithm/model- Small-world graphs- Power-law graphs
![Page 8: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/8.jpg)
http://jung.sourceforge.net
Graph Types
AbstractArchetypeGraph
AbstractSparseGraph
ArchetypeGraph
GraphHypergraph
SparseGraph
DirectedSparseGraphUndirectedSparseGraph
UndirectedGraph DirectedGraph
HypergraphBPG
KPartiteGraph
KPartiteSparseGraph
abstract class
interface
instantiable class
KEY
A B
B implements A
A B
B extends A
![Page 9: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/9.jpg)
http://jung.sourceforge.net
Vertex Types
ArchetypeVertex
Hypervertex VertexAbstractHyperUnitBPG
AbstractSparseVertexHypervertexBPG
SimpleSparseVertex(mixed)
SimpleDirectedSparseVertex(directed)
SimpleUndirectedSparseVertex(undirected)
SparseVertex(mixed, parallel)
DirectedSparseVertex(directed, parallel)
UndirectedSparseVertex(undirected, parallel)
LeanSparseVertex(mixed, parallel)
abstract class
interface
instantiable class
KEY
A B
B implements A
A B
B extends A
![Page 10: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/10.jpg)
http://jung.sourceforge.net
Edge Types
ArchetypeEdge
EdgeHyperedge
DirectedEdge UndirectedEdge
AbstractHyperUnitBPG
AbstractSparseEdge
DirectedSparseEdge UndirectedSparseEdge
HyperedgeBPG
abstract class
interface
instantiable class
KEY
A B
B implements A
A B
B extends A
![Page 11: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/11.jpg)
http://jung.sourceforge.net
Creating a Graph
Graph g = new DirectedSparseGraph();Vertex v1 = new SparseVertex();Vertex v2 = new SparseVertex();g.addVertex( v1 );g.addVertex( v2 );Edge e = new Edge( v1, v2 );g.addEdge( e );
![Page 12: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/12.jpg)
http://jung.sourceforge.net
Adding user-defined data key-value pairs associated with
graphs, edges, vertices easy to write algorithms that operate on
relational data
String name = vertex.getUserDatum(NAME);edge.setUserDatum(DATE, new Date());
![Page 13: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/13.jpg)
http://jung.sourceforge.net
Copying and Equality
copies of vertices and edges are “equal to” the originals – equals(), hashCode()
– subgraphs– allows experimentation with mutations to
graph, without affecting original
v2 = v1.getEqualVertex(g2)
![Page 14: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/14.jpg)
http://jung.sourceforge.net
Predicates
logical expressions, e.g.v.degree() > 4e instanceof DirectedEdge
can be used to define subsets and constraints – k-partite graphs– multigraphs, simple graphs, trees, mixed-
mode graphs, hypergraphs, ...
![Page 15: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/15.jpg)
http://jung.sourceforge.net
Using graph filters
Extract subgraphs of vertices and edges– All edges with user-data “weight” > 0.2– All nodes whose “location” is “California”– All nodes within distance 3.5 of v
Chain filters together Automate complex graph
transformations
![Page 16: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/16.jpg)
http://jung.sourceforge.net
Visualizing graphs Basic layout algorithms:
– Fruchterman-Rheingold– Kamada-Kawaii– Eades– Self-Organizing Maps
Plug and play architecture- Drop in your favorite renderer, layout
Provided rendering engine is Swing-based - (but layouts are generic)
![Page 17: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/17.jpg)
http://jung.sourceforge.net
Simple Graph Display
to display an existing graph:l = new FRLayout(g);r = new PluggableRenderer();vv = new VisualizationViewer(l,r);jpanel.add(vv);
now, start customizing...
![Page 18: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/18.jpg)
PluggableRenderer
![Page 19: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/19.jpg)
http://jung.sourceforge.net
Customizing
Layout algorithms specify vertex positionsadvancePositions()
Renderers draw vertices and edges.paintEdge( g, Edge, x1, y1, x2, y2 )paintVertex( g, Vertex, x, y )
![Page 20: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/20.jpg)
http://jung.sourceforge.net
Algorithms
clustering k-neighborhood
connected components
k-means clustering
connectivity
maximum flow
network distances
structural equivalence
centrality/importancebetweenness,markov,PageRank, hubs-and-authorities,voltage,...
![Page 21: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/21.jpg)
bold text
show undirected edge arrows
show edge weights
edge weight highlighting
vertex degree ratio stretch
vertex voltage size
vertex degree shapes
show vertex ranks (voltages)
vertex selection stroke highlighting
vertex seed coloring
ranking
![Page 22: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/22.jpg)
M Pazzani
M Fernandez O Mangasarian
M Hearst
M Jordan
C Lai
T Richardson
C Meek
C Glymour
P Sabes
J FrankP Cheeseman
J Stutz
M Wellman
D Cohn
A Smith
B Draper
J Erickson
C Brodley
P Smyth
J Weber
J Malik
D Heckerman
A Jones
E Knill
B Bollobas
G Das
D Gunopulos
H Mannila
S Teng
D Mitchell
R Khardon
D Roth
A Raftery
D Madigan
J Hoeting M Kersten
O Miglino
K Nafasi
C Taylor
D Wolpert
W Macready
A Hill
T Cootes
Z Ghahramani
S Dumais
P Chan
S Soatto
P Perona
R FrezzaG Picci
M Mitchell
T Jaakkola
D Haussler
P Orponen
K Murphy
H GreenspanS Belongie
R Goodman
M Holsheimer
J Matousek
L Xu
M Paterson
M KlemettinenH Toivonen
A Weigend
S Jung
J Boulicaut
S CasadeiS Mitter
J Adams
J Kosecka
R Paul
A Farquhar
R Kohavi
M Jaeger
J Ostrowski
K Bennett
A Ng
P Ronkainen
L Guibas
B Dom
M Sahami
J Bouguet
J Rice
D Dobkin
D Eppstein
T Hastie
P Agarwal
E Ukkonen
G OvertonJ Aaronson
J Haas
Z Wang
D Hart
G Gottlob
P Stolorz F Yao
A Robertson
E Horvitz
S Singh
B Fischer
T Leung
H AhonenO Heinonen
P Kilpelainen
M Atkinson
D Peel
G Miller
S Russell
W Buntine
J Fortes
L Saul
M Dillencourt
Y Weiss
C Volinsky
R Kronmal
A Gray
S Hanks
V Tsaoussidis
H Badr
D Kriegman
T Lane
J Gilbert
P Debevec
J Kivinen
J Crowcroft
R Beigel
A Mayer
B MacLennan
G Edwards
C Matheus
G Piatetsky-Shapiro
D McNeill
P Utgoff
R Fikes
R Jacobs
M Weber
J Gavrin
K Chang
D Hirschberg
E Hunt
S MacDonell
Z Galil
E Weydert
D Thomas
M Henzinger
M Burl
M Bern
P Sozou
J Graham
E DemaineM Demaine
S Spence
D Geiger
M Friedl
T Eiter
E Alpaydin
S Solloway
C Hutchinson
J WatertonD Cooper
A Barto
E Nikunen
E Dimauro
G LindenA Verkamo
I Verkamo
L Goncalves
G Cooper
A Newton
R Kraft
J Breese
N Amenta
I Cadez
C McLaren
G McLachlan
G Barequet
M Meila
Q Morris
Y Song
S Andersson
M Perlman
P Bradley
U Fayyad
D WolfG Italiano
K Tumer
E Keogh
E BernardoE Ursella
C Triggs
D Sornette
E Friedman
L DaynesT Printezis
T Pressburger
B Tuttle
J Haslam
G PageC Jackson
C Bishop
D Pavlov
M Dickerson
N de Freitas
C Stauss
R Kilgour
R Manduchi
G Graefe
R Shachter
K MosurskiR Almond
D Young
A Lapedes
R Blasi
D ChickeringR Giancarlo
K Wheeler
A Lanitis
P Prado
X Ge
S Payandeh
M Ghil
K Ide
H King
I Dryden
B Thiesson
D Pregibon
A KorholaH Olander
W Pratt
R Engelmore
A Brett
C Sayers
J Mao
M Salmenkivi
A Mamdani
J Iv
M Welling
B Kanefsky
W Taylor
C Strauss
K Walker
M Faghihi
E Di Bernardo
P Kube
K Rommelse
D Rumelhart
S GaffneyC ReinaS ChaudhuiriP Sallis
K LaaksoB Levidow
D Donnell
M Tartagni
M Vanter
N Lawrence
C FowlkesJ Roden
G Ridgeway
E Kuo
L Su
M Munich
D GolinelliG Consonni
D Cunliffe
D PsaltisG Steckman
P Courtier
M Latif
I Sim
L Cordero
L Ugarte
K Pentikousis
N Kapadia
J seck
F Lott
D Chudova
P Yiou
W Einhauser
P VetterS Goodbody
M Kawato
P Hrensen
M Levitz
clustering
![Page 23: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/23.jpg)
http://jung.sourceforge.net
Event Handling
addition/removal of vertices/edges– graphs generate events
modification of user data repository– (JUNG) objects generate events
mouse events– can be parsed as selection, panning, zooming,
pop-ups, property changes, functions, ...
objects can register as listeners
![Page 24: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/24.jpg)
http://jung.sourceforge.net
Statistical Analysis
Graph measures:– Degree distributions– Average shortest path length, diameter– Clustering coefficients
can use existing Java statistical packages CERN Colt Scientific Library Visual Numeric’s JMSL for Java
![Page 25: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/25.jpg)
http://jung.sourceforge.net
Conclusion
Provides a common language for graphs Complements rather than replaces other
graph packages/network tools A powerful framework for working with
graphs with rich attribute structure Ideally suited for building tools/
applications related to network exploration and data mining
![Page 26: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/26.jpg)
http://jung.sourceforge.net
Adoption
Users are writing social network analyses, games, animated
graph views, transportation network algorithms, Google Cartography, ...
![Page 27: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/27.jpg)
Email visualization
![Page 28: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/28.jpg)
Newsgroup Networks
![Page 29: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/29.jpg)
Temporal Egocentric Communication Networks
![Page 30: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/30.jpg)
Open-SourceCollaboration
![Page 31: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/31.jpg)
LiveJournal networks
![Page 32: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/32.jpg)
http://jung.sourceforge.net
Integrated into an application
![Page 33: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/33.jpg)
http://jung.sourceforge.net
Freeman’s Southern Women
![Page 34: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/34.jpg)
Shortest Path
![Page 35: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/35.jpg)
http://jung.sourceforge.net
Demo
Betweenness Centrality
![Page 36: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/36.jpg)
http://jung.sourceforge.net
Small Multiples[Sun, E1]
![Page 37: The Java Universal Network/Graph ... - jung.sourceforge…jung.sourceforge.net/presentations/JUNG_M2K.pdf · ... D Hart G Gottlob P Stolorz F Yao A Robertson E Horvitz S Singh](https://reader031.vdocuments.us/reader031/viewer/2022022607/5b8604427f8b9a2e3a8c0698/html5/thumbnails/37.jpg)
http://jung.sourceforge.net
Thanks
http://jung.sourceforge.net
Feel free to just play with it…Or join us! Active collaboration is
welcome.
Supported in part by NSF.