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math.COJan 13, 2010
6
citations (OpenAlex)
authors
  • Vladimir Nikiforov
institutions
  • University of Memphis
arXiv abstractPDF
paper

Chromatic number and mimimum degree of K_r-free graphs

arXiv:1001.2070

Abstract

A number of famous results about triangle-free graphs determine the maximum chromatic number of graphs of order n with minimum degree greater than n/3. In this note these results are extended to Kr-free graphs.

arXiv comment13 pages

Cited by in corpus (3)

  • The chromatic profile of locally colourable graphs
  • Minimum degree stability of H-free graphs
  • The chromatic profile of locally bipartite graphs
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