Some Results on Chromatic Polynomials of Hypergraphs

  • Manfred Walter

Abstract

In this paper, chromatic polynomials of (non-uniform) hypercycles, unicyclic hypergraphs, hypercacti and sunflower hypergraphs are presented. The formulae generalize known results for $r$-uniform hypergraphs due to Allagan, Borowiecki/Łazuka, Dohmen and Tomescu.

Furthermore, it is shown that the class of (non-uniform) hypertrees with $m$ edges, where $m_r$ edges have size $r$, $r\geq 2$, is chromatically closed if and only if $m\leq4$, $m_2\geq m-1$.

Published
2009-07-31
Article Number
R94