The chromatic number of comparability 3{hypergraphs
Natalia Garc, Amanda Montejano, Déborah Oliveros · arXiv (Cornell University) · 2014
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 dierent 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.