Zero-free intervals of chromatic polynomials of mixed hypergraphs

preprint2020arXivOpen access

Abstract

In this paper, we prove that (−∞,0)(-\infty, 0) is a zero-free interval for chromatic polynomials of a family L0{\cal L}_0 of hypergraphs and (0,1)(0, 1) is a zero-free interval for chromatic polynomials of a subfamily L0′{\cal L}_0' of L0{\cal L}_0 of hypergraphs. These results extend known results on zero-free intervals of chromatic polynomials of graphs and hypergraphs.

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