Zero-free intervals of chromatic polynomials of hypergraphs

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