论文标题

扩展到beraha-kahane-weiss定理的应用

Extension to the Beraha-Kahane-Weiss Theorem with Applications

论文作者

Brown, Jason, Otto, Peter T.

论文摘要

美丽的Beraha-Kahane-Weiss定理在图理论中发现了许多应用,从而确定了图形多项式的根界限,就像色多项式,网络可靠性,以及与独立性和统治相关的多项式。在这里,我们扩展了可以应用BKW定理的功能类别,并在Compinatorics中提供了一些应用程序。

The beautiful Beraha-Kahane-Weiss theorem has found many applications within graph theory, allowing for the determination of the limits of root of graph polynomials in settings as vast as chromatic polynomials, network reliability, and generating polynomials related to independence and domination. Here we extend the class of functions to which the BKW theorem can be applied, and provide some applications in combinatorics.

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