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Module: All pairs shortest paths

Johnson’s algorithm, Floyd-Warshall algorithm, dynamic programming for dense graphs, transitive closure

Learning Outcomes

Apply all pairs shortest paths algorithms, including:

Readings

Introduction to all pairs shortest paths

Introduction.

Screencast Suthers 10 min

Johnson's algorithm for all pairs shortest paths

Johnson’s algorithm

Screencast Suthers 24 min

Floyd-Warshall algorithm for all pairs shortest paths

Floyd-Warshall’s algorithm

Screencast Suthers 20 min

CLRS 25 - All Pairs Shortest Paths

Shortest paths and matrix multiplication, Floyd-Warshall algorithm, Johnson’s algorithm for sparse graphs

Textbook 22 pages

Notes on all pairs shortest paths

All pairs shortest paths problem, using single source algorithms, Johnson’s bright idea, Floyd-Warshall: dynamic programming for dense graphs, transitive closure

Notes