Line-graphs of cubic graphs are normal

Details Line-graphs of cubic graphs are normal Line-graphs of cubic graphs are normal

2006-05-21

arxiv.org/abs/math/0605568v1

Mathematics

Combinatorics

16 pages, 10 figures

Scientific paper

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.

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