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Minimum Spanning Tree Cycle Intersection Problem (2102.13193v2)
Published 25 Feb 2021 in cs.DM and math.CO
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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