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Article
Large Chromatic Number and Ramsey Graphs
Graphs and Combinatorics (2013)
  • Csaba Biró, University of Louisville
  • Zoltán Füredi, University of Illinois at Urbana–Champaign
  • Sogol Jahanbekam, University of Illinois at Urbana–Champaign
Abstract
Let Q (n, χ) denote the minimum clique size an n-vertex graph can have if its chromatic number is χ. Using Ramsey graphs we give an exact, albeit implicit, formula for the case χ ≥ (n + 3)/2.
Keywords
  • Clique number,
  • Chromatic number,
  • Ramsey graphs
Publication Date
September 1, 2013
DOI
10.1007/s00373-012-1179-6
Publisher Statement
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Citation Information
Csaba Biró, Zoltán Füredi and Sogol Jahanbekam. "Large Chromatic Number and Ramsey Graphs" Graphs and Combinatorics Vol. 29 Iss. 5 (2013) p. 1183 - 1191 ISSN: 0911-0119
Available at: http://works.bepress.com/sogol-jahanbekam/14/