Search
Close this search box.

Contents

Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

On Minimal Triangle-Free \(5\)-Chromatic Graphs

Charles M. Grinstead1, Matthew Katinsky1, David Van Stone1
1Department of Mathematics Swarthmore College Swarthmore, PA 19081 U.S.A.
  • Published: 31/10/1989

Abstract

Avis has shown that the number of vertices of a minimal triangle-free \(5\)-chromatic graph is no fewer than \(19\). Mycielski has shown that this number is no more than \(23\). In this paper, we improve these bounds to \(21\) and \(22\), respectively.

Information
Guidelines
CP Initiatives
Follow CP
Facebook Twitter Linkedin
1970-2024 CP (Manitoba, Canada) unless otherwise stated.
Citation
Charles M. Grinstead, Matthew Katinsky, David Van Stone. On Minimal Triangle-Free \(5\)-Chromatic Graphs[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 006. 189-193. DOI: .