The chromatic number of comparability 3-hypergraphs
Combinatorics
2014-02-25 v1
Abstract
Beginning with the concepts of orientation for a 3-hypergraph and transitivity for an oriented 3-hypergraph, it is natural to study the class of comparability 3-hypergraphs (those that can be transitively oriented). In this work we show three different behaviors in respect to the relationship between the chromatic number and the clique number of a comparability 3-hypergraph, this is in contrast with the fact that a comparability simple graph is a perfect graph.
Keywords
Cite
@article{arxiv.1402.5739,
title = {The chromatic number of comparability 3-hypergraphs},
author = {Natalia Garcia-Colin and Amanda Montejano and Deborah Oliveros},
journal= {arXiv preprint arXiv:1402.5739},
year = {2014}
}