Circular Chromatic Number of Hypergraphs

Changiz Eslahchi1, Arash Rafiey2
1Department of Mathematics Shahid Beheshty University Tehran, Iran
2Department of Mathematics Shahid Beheshty University Tehran, Irarafiey-ar@ipm.irn

Abstract

The concept of circular chromatic number of graphs was introduced by Vince \((1988)\). In this paper, we define the circular chromatic number of uniform hypergraphs and study their basic properties. We study the relationship between the circular chromatic number, chromatic number, and fractional chromatic number of uniform hypergraphs.