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In general the problem of finding a miminum spanning tree for a weighteddirected graph is difficult but solvable. There are a lot of differencesbetween problems for directed and undirected graphs, therefore the algorithmsfor undirected graphs cannot usually be applied to the directed case. In thispaper we examine the kind of weights such that the problems are equivalent anda minimum spanning tree of a directed graph may be found by a simple algorithmfor an undirected graph.

On the Minimum Spanning Tree for Directed Graphs with Potential Weights