English

Jones' Conjecture in subcubic graphs

Combinatorics 2021-10-14 v1 Discrete Mathematics

Abstract

We confirm Jones' Conjecture for subcubic graphs. Namely, if a subcubic planar graph does not contain k+1k+1 vertex-disjoint cycles, then it suffices to delete 2k2k vertices to obtain a forest.

Cite

@article{arxiv.1912.01570,
  title  = {Jones' Conjecture in subcubic graphs},
  author = {Marthe Bonamy and François Dross and Tomáš Masařík and Wojciech Nadara and Marcin Pilipczuk and Michał Pilipczuk},
  journal= {arXiv preprint arXiv:1912.01570},
  year   = {2021}
}
R2 v1 2026-06-23T12:34:43.362Z