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arXiv · 2504.14484

Digraphs of potential barriers: properties of their tree structure and algorithm for constructing minimum spanning forests

Vasily Buslov
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Abstract

For a weighted digraph without loops $V$, the arc weights of which can be obtained from an undirected graph with loops ${\sf P}$ according to the rule $v_{ij}=p_{ij}-p_{ii}$, the properties are studied. An effective algorithm for constructing directed trees of minimum weight and an algorithm for constructing spanning directed forests of minimum weight are proposed.

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Vasily Buslov. 2025-04-20. Digraphs of potential barriers: properties of their tree structure and algorithm for constructing minimum spanning forests. https://arxiv.org/abs/2504.14484

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