English

Graphs with all holes the same length

Combinatorics 2024-05-15 v3

Abstract

A graph is "\ell-holed" if all its induced cycles of length at least four have length exactly \ell. We give a complete description of the \ell-holed graphs for each 7\ell\ge 7.

Keywords

Cite

@article{arxiv.2110.09970,
  title  = {Graphs with all holes the same length},
  author = {Linda Cook and Jake Horsfield and Myriam Preissmann and Cléophée Robin and Paul Seymour and Ni Luh Dewi Sintiari and Nicolas Trotignon and Kristina Vušković},
  journal= {arXiv preprint arXiv:2110.09970},
  year   = {2024}
}
R2 v1 2026-06-24T07:00:38.428Z