graph theory itec 320 lecture 21. graph theory review higher level usage of pointers –factories...
Post on 15-Jan-2016
217 Views
Preview:
TRANSCRIPT
Graph Theory
ITEC 320Lecture 21
Graph Theory
Review
• Higher level usage of pointers– Factories– Flyweight– Disk pool
• Rationale• Benefits / Downsides
Graph Theory
Outline
• Rationale • Definition• Methods of implementation• Algorithms
Graph Theory
Cell phones
• How do they work (communication side)
Graph Theory
Cell Networks
Graph Theory
Other scenarios
• Computer networks• Google maps• Facebook friends• Gaming
Graph Theory
Rationale
• How do you model a cell phone network on a computer?
• Why would you want to simulate a cell phone network?
Graph Theory
Graphs
• Composed of vertices and edges• Vertices– Represent an object in a graph
• Edges– A connection between two vertices
Graph Theory
Variations
• Weighted graph– Toll road– Hotel cost– Identifiers
• Possible usage scenarios?
Graph Theory
Methods of implementation
• Arrays• Pointers• Benefits of each approach• Downsides of each approach
Graph Theory
Code
• Should we use a package?• What about generics?
Graph Theory
Searching
• How do you find information in a graph?
Destination
Start
Graph Theory
Breadth first
• For each node I am connected to– Is this the node I’m looking for?
• If I didn’t find it– For each node I am connected to• Call breadth first search on it
Graph Theory
Depth first
• If I am the node searched for, stop and return
• For each node I am connected to– Call depth first search on that node
Graph Theory
Issues
• What are some of the issues that might happen with searching?
• How do you implement each way?– Stacks / Recursion / Packages / ?
Graph Theory
More
• How do you pick the best path?– Lowest cost– Highest cost– Cover all points with least overlap
Graph Theory
Summary
• Rationale for graph theory• Approach• Finding algorithms
top related