Line-graphs of cubic graphs are normal
Combinatorics
2013-06-25 v1
Abstract
A graph is called normal if its vertex set can be covered by cliques and also by stable sets, such that every such clique and stable set have non-empty intersection. This notion is due to Korner, who introduced the class of normal graphs as an extension of the class of perfect graphs. Normality has also relevance in information theory. Here we prove, that the line graphs of cubic graphs are normal.
Keywords
Cite
@article{arxiv.math/0605568,
title = {Line-graphs of cubic graphs are normal},
author = {Zsolt Patakfalvi},
journal= {arXiv preprint arXiv:math/0605568},
year = {2013}
}
Comments
16 pages, 10 figures