Question: In a weighted graph with start node s, there are often multiple shortest paths from s to any other node. We want to use Dijkstra's

In a weighted graph with start node s, there are often

In a weighted graph with start node s, there are often multiple shortest paths from s to any other node. We want to use Dijkstra's algorithm to count them (so assume no negative edge weights). To each node v, we add a field v.numPaths, and initialize s.numPaths to 1. Modify the Relax routine so that Dijkstra's algorithm will determine both the length of the shortest path to all other nodes and the number of shortest paths

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