The shortest path problem seeks to find the shortest path (a.k.a. graph geodesic) connecting two specific vertices (u, v) of a directed or undirected graph. The length of the graph geodesic between these points d(u, v) is called the graph distance between u and v. Common algorithms for solving the shortest path problem include the Bellman-Ford algorithm and Dijkstra's algorithm. The Wolfram Language function FindShortestPath[g, u, v] can be used to find one (of possibly mutiple) shortest path between vertices u and v in a graph g.
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