Graph Algorithms
Chapter 17. Graph Properties and Types
17.1 Glossary
17.2 Graph ADT
17.3 Adjacency-Matrix Representation
17.4 Adjacency-Lists Representation
17.5 Variations, Extensions, and Costs
17.6 Graph Generators
17.7 Simple, Euler, and Hamilton Paths
17.8 Graph-Processing Problems
Chapter 18. Graph Search
18.1 Exploring a Maze
18.2 Depth-First Search
18.3 Graph-Search ADT Functions
18.4 Properties of DFS Forests
18.5 DFS Algorithms
18.6 Separability and Biconnectivity
18.7 Breadth-First Search
18.8 Generalized Graph Search
18.9 Analysis of Graph Algorithms
Chapter 19. Digraphs and DAGs
19.1 Glossary and Rules of the Game
19.2 Anatomy of DFS in Digraphs
19.3 Reachability and Transitive Closure
19.4 Equivalence Relations and Partial Orders
19.5 DAGs
19.6 Topological Sorting
19.7 Reachability in DAGs
19.8 Strong Components in Digraphs
19.9 Transitive Closure Revisited
19.10 Perspective
Chapter 20. Minimum Spanning Trees
20.1 Representations
20.2 Underlying Principles of MST Algorithms
20.3 Prim's Algorithm and Priority-First Search
20.4 Kruskal's Algorithm
20.5 Boruvka's Algorithm
20.6 Comparisons and Improvements
20.7 Euclidean MST
Chapter 21. Shortest Paths
21.1 Underlying Principles
21.2 Dijkstra's algorithm
21.3 All-Pairs Shortest Paths
21.4 Shortest Paths in Acyclic Networks
21.5 Euclidean Networks
21.6 Reduction
21.7 Negative Weights
21.8 Perspective
Chapter 22. Network Flows
22.1 Flow Networks
22.2 Augmenting-Path Maxflow Algorithms
22.3 Preflow-Push Maxflow Algorithms
22.4 Maxflow Reductions
22.5 Mincost Flows
22.6 Network Simplex Algorithm
22.7 Mincost-Flow Reductions
22.8 Perspective
References for Part Five
Index
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