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Zero-free intervals of chromatic polynomials of hypergraphs
Discrete Mathematics ( IF 0.8 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.disc.2020.112134
Ruixue Zhang , Fengming Dong

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.

中文翻译:

超图的色多项式的无零区间

摘要 在本文中,我们证明 ( − ∞ , 0 ) 是超图族 L 0 色多项式的无零区间,( 0 , 1 ) 是超图族 L 0 色多项式的无零区间' 的超图的 L 0。这些结果扩展了图和超图的色多项式的零自由区间的已知结果。
更新日期:2020-12-01
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