Every plane graph of maximum degree 8 has an edge-face 9-colouring
Combinatorics
2012-07-18 v2
Abstract
An edge-face colouring of a plane graph with edge set and face set is a colouring of the elements of such that adjacent or incident elements receive different colours. Borodin proved that every plane graph of maximum degree can be edge-face coloured with colours. Borodin's bound was recently extended to the case where . In this paper, we extend it to the case .
Cite
@article{arxiv.0912.4770,
title = {Every plane graph of maximum degree 8 has an edge-face 9-colouring},
author = {Ross J. Kang and Jean-Sébastien Sereni and Matěj Stehlík},
journal= {arXiv preprint arXiv:0912.4770},
year = {2012}
}
Comments
29 pages, 1 figure; v2 corrects a contraction error in v1; to appear in SIDMA