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arXiv · 2501.19068

When a forest, narrowed to an atom of subset algebra, turns out to be a tree

Vasily Buslov
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Abstract

It is proved that the restriction of a $k$ and $(k-1)$-component directed spanning forest of minimal weight to an atom of the subset algebra generated by the sets of vertices of trees of $k$-component minimal spanning forests is a tree. For spanning minimal forests consisting of fewer components, this property, generally speaking, does not exist.

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Vasily Buslov. 2025-02-17. When a forest, narrowed to an atom of subset algebra, turns out to be a tree. https://arxiv.org/abs/2501.19068

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