English

Agile Sets in Graphs

Combinatorics 2025-05-20 v1

Abstract

A set of vertices in a graph is agile if, however we partition the set into two parts, we can always find two vertex-disjoint connected subgraphs where one covers the first and the other the second part. We present a characterization for the existence of large agile sets in terms of K2,kK_{2,k} and large strip minors.

Keywords

Cite

@article{arxiv.2109.04768,
  title  = {Agile Sets in Graphs},
  author = {Christian Elbracht and Jay Lilian Kneip and Maximilian Teegen},
  journal= {arXiv preprint arXiv:2109.04768},
  year   = {2025}
}

Comments

20 pages, 3 figures

R2 v1 2026-06-24T05:51:17.745Z