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arXiv · 2102.13193

Minimum Spanning Tree Cycle Intersection Problem

Manuel Dubinsky·César Massri·Gabriel Taubin
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Abstract

Consider a connected graph $G$ and let $T$ be a spanning tree of $G$. Every edge $e \in G-T$ induces a cycle in $T \cup \{e\}$. The intersection of two distinct such cycles is the set of edges of $T$ that belong to both cycles. We consider the problem of finding a spanning tree that has the least number of such non-empty intersections.

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Manuel Dubinsky, César Massri, Gabriel Taubin. 2021-02-25. Minimum Spanning Tree Cycle Intersection Problem. https://doi.org/10.1016/j.dam.2021.01.031

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