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Minimum Spanning Tree Cycle Intersection Problem

Discrete Mathematics 2024-04-23 v2 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.2102.13193,
  title  = {Minimum Spanning Tree Cycle Intersection Problem},
  author = {Manuel Dubinsky and César Massri and Gabriel Taubin},
  journal= {arXiv preprint arXiv:2102.13193},
  year   = {2024}
}