1. CS223 Advanced Data Structures and Algorithms
Graph Neil Tang 02/25/2010
CS223 Advanced Data Structures and Algorithms

2. CS223 Advanced Data Structures and Algorithms
Class Overview
Basic concepts
Applications
Adjacency matrix
Adjacency list
CS223 Advanced Data Structures and Algorithms

3. CS223 Advanced Data Structures and Algorithms
Basic Concepts
Graph (V, E)
CS223 Advanced Data Structures and Algorithms

4. CS223 Advanced Data Structures and Algorithms
Basic Concepts
Directed graph (digraph)
Undirected graph
Path: a sequence of vertices and edges (w1,w2, …,wn)
Simple path: all vertices are distinct except the first and the last that could be the same.
Cycle: a path (w1,w2, …,wn) with w1 = wn
Directed Acyclic Graph (DAG)
CS223 Advanced Data Structures and Algorithms

5. CS223 Advanced Data Structures and Algorithms
Basic Concepts
Connected undirected graph
Strongly/weakly connected digraph
Complete graph
CS223 Advanced Data Structures and Algorithms

6. CS223 Advanced Data Structures and Algorithms
Applications
Airport system
Transportation system
Computer network
Digital maps
CS223 Advanced Data Structures and Algorithms

7. CS223 Advanced Data Structures and Algorithms
Adjacency Matrix
VID
Weighted graph?
Space: (|V|2)
CS223 Advanced Data Structures and Algorithms

8. CS223 Advanced Data Structures and Algorithms
Adjacency List
Space: O(|V|+|E|)
CS223 Advanced Data Structures and Algorithms