Zero-free intervals of chromatic polynomials of mixed hypergraphs

Abstract

In this paper, we prove that $(-\infty ,0)$ is a zero-free interval for chromatic polynomials of a family ${\mathcal{L}}_0$ of hypergraphs and $(0,1)$ is a zero-free interval for chromatic polynomials of a subfamily ${\mathcal{L}}_0^{\prime }$ of ${\mathcal{L}}_0$ of hypergraphs. These results extend known results on zero-free intervals of chromatic polynomials of graphs and hypergraphs.

arXiv comment4 figures, 16 references. Accepted by Discrete Mathematics