A generalization of the Beraha–Kahane–Weiss theorem with graph polynomial applications
DOI:
https://doi.org/10.55016/ojs/cdm.v20i2.76682Abstract
The beautiful Beraha–Kahane–Weiss (BKW) theorem has found many applications within graph theory, allowing for the determination of the limits of zeros of graph polynomials in a wide range of settings such as chromatic polynomials, network reliability, and generating polynomials related to independence and domination. However, the proof only provides solutions for linear recurrence relations of polynomials whose characteristic polynomials have simple zeros. 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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Copyright (c) 2025 Jason Brown, Peter Otto
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