Properties of Descartes' Construction of Triangle-Free Graphs with High Chromatic Number

A. V. Kostochka, J. Nešetřil

Research output: Contribution to journalArticlepeer-review

Abstract

We present some nice properties of the classical construction of triangle-free graphs with high chromatic number given by Blanche Descartes and its modifications. In particular, we construct colour-critical graphs and hypergraphs of high girth with moderate average degree.

Original languageEnglish (US)
Pages (from-to)467-472
Number of pages6
JournalCombinatorics Probability and Computing
Volume8
Issue number5
DOIs
StatePublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Statistics and Probability
  • Computational Theory and Mathematics
  • Applied Mathematics

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