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====Routing for graphs==== * [[Edmonds' algorithm]] (also known as Chu–Liu/Edmonds' algorithm): find maximum or minimum branchings * [[Euclidean minimum spanning tree]]: algorithms for computing the minimum spanning tree of a set of points in the plane * [[Longest path problem]]: find a simple path of maximum length in a given graph * [[Minimum spanning tree]] ** [[Borůvka's algorithm]] ** [[Kruskal's algorithm]] ** [[Prim's algorithm]] ** [[Reverse-delete algorithm]] * [[Nonblocking minimal spanning switch]] say, for a [[telephone exchange]] * [[Vehicle routing problem]] ** Clarke and Wright Saving algorithm * [[Shortest path problem]] ** [[Bellman–Ford algorithm]]: computes [[shortest path problem|shortest paths]] in a weighted graph (where some of the edge weights may be negative) ** [[Dijkstra's algorithm]]: computes [[shortest path problem|shortest paths]] in a graph with non-negative edge weights ** [[Floyd–Warshall algorithm]]: solves the [[shortest path problem#All-pairs shortest paths|all pairs shortest path]] problem in a weighted, directed graph ** [[Johnson's algorithm]]: all pairs shortest path algorithm in sparse weighted directed graph <!-- ** [[Perturbation methods]]: an algorithm that computes a locally [[shortest path problem|shortest paths]] in a graph --> * [[Transitive closure]] problem: find the [[transitive closure]] of a given binary relation * [[Traveling salesman problem]] ** [[Christofides algorithm]] ** [[Nearest neighbour algorithm]] * [[Warnsdorff's rule]]: a heuristic method for solving the [[Knight's tour]] problem
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