Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-27T03:40:05.755Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  01 September 1999

A. V. KOSTOCHKA  and
J. NEšETŘIL
A. V. KOSTOCHKA
Affiliation:
Institute of Mathematics, 630090, Novosibirsk, Russia (e-mail: sasha@math.nse.ru)
J. NEšETŘIL
Affiliation:
Department of Applied Mathematics, Charles University, Malostranské nám. 25, 11800 Praha 1, Czech Republic (e-mail: nesetril@kam.ms.mff.cuni.cz)
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 8 , Issue 5 , September 1999 , pp. 467 - 472
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)