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Efficiently Computing Directed Minimum Spanning Trees

Published in Society for Industrial and Applied Mathematics eBooks • Jan 1, 2023
NobleIDNI3P87W43R03S39
Authors:
Maximilian Böther
,
Otto Kißig
,
Christopher Weyand

Abstract

Computing a directed minimum spanning tree, called arborescence, is a fundamental algorithmic problem, although not as common as its undirected counterpart. In 1967, Edmonds discussed an elegant solution. It was refined to run in O(min(n2,m log n)) by Tarjan which is optimal for very dense and very ...

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