Towards The Albertson Conjecture

János Barát; Géza Tóth

Towards The Albertson Conjecture

Combinatorics 2009-09-03 v1

Authors: János Barát , Géza Tóth

Abstract

Albertson conjectured that if a graph $G$ has chromatic number $r$ then its crossing number is at least as much as the crossing number of $K_r$ . Albertson, Cranston, and Fox verified the conjecture for $r\le 12$ . We prove the statement for $r\le 16$ .

Keywords

hadwiger conjecture graph coloring

Cite

@article{arxiv.0909.0413,
  title  = {Towards The Albertson Conjecture},
  author = {János Barát and Géza Tóth},
  journal= {arXiv preprint arXiv:0909.0413},
  year   = {2009}
}

Comments

13 pages, 4 figures

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