English

K_6 minors in large 6-connected graphs

Combinatorics 2012-03-13 v1 Discrete Mathematics

Abstract

Jorgensen conjectured that every 6-connected graph with no K_6 minor has a vertex whose deletion makes the graph planar. We prove the conjecture for all sufficiently large graphs.

Cite

@article{arxiv.1203.2192,
  title  = {K_6 minors in large 6-connected graphs},
  author = {Ken-ichi Kawarabayashi and Serguei Norine and Robin Thomas and Paul Wollan},
  journal= {arXiv preprint arXiv:1203.2192},
  year   = {2012}
}

Comments

47 pages, 11 figures

R2 v1 2026-06-21T20:31:59.175Z