Colourings of graphs with prescribed odd cycle lengths


Colourings of graphs with prescribed odd cycle lengths

Matos Camacho, S.; Schiermeyer, I.

In 1992 Gyárfás showed that a graph G having only k odd cycle lengths is (2k+1)-colourable, if it does not contain a K2k+2. In this paper, we will present the results for graphs containing only odd cycles of length 2m−1 and 2m+1 as done in [S. Matos Camacho, Colourings of graph with prescribed cycle lengths, diploma thesis, TU Bergakademie Freiberg, 2006. [3]]. We will show that these graphs are 4-colourable.

Keywords: Colouring; Cycles; Chromatic number

Permalink: https://www.hzdr.de/publications/Publ-20514
Publ.-Id: 20514