Example 16.9. If a shortest path from Pittsburgh to San Francisco goes through Chicago, then that shortest path includes the shortest path from Pittsburgh to Chicago.

Run Dijkstra to compute the Shortest Path Spanning Tree (SPST) for each vertex used as source. Note that the array of predecessors completely specifies the SPST.

Shortest Paths: Today we consider the problem of computing shortest paths in a directed graph. We are given a digraph G = (V, E) and a source vertex s ∈ V , and we want to compute the shortest path …

T is a shortest-path tree from v to the nodes in T, and ˆd(u) = d(u) for every u ∈ T.

Relaxing some edge (u, v) sets d(s, v) to d(s, u) + w(u, v), which is the weight of a path from s to v through u.

Solution: Run the code for Single Source Shortest Path using source as A. Stop algorithm when B is reached.

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