English

Large chromatic number and Ramsey graphs

Combinatorics 2012-04-11 v3

Abstract

Let Q(n,c) denote the minimum clique size an n-vertex graph can have if its chromatic number is c. Using Ramsey graphs we give an exact, albeit implicit, formula for the case c is at least (n+3)/2.

Keywords

Cite

@article{arxiv.1103.3917,
  title  = {Large chromatic number and Ramsey graphs},
  author = {Csaba Biró and Zoltán Füredi and Sogol Jahanbekam},
  journal= {arXiv preprint arXiv:1103.3917},
  year   = {2012}
}

Comments

7 pages, to appear in Graphs and Combinatorics

R2 v1 2026-06-21T17:42:05.242Z