English

Extension to the Beraha-Kahane-Weiss Theorem with Applications

Combinatorics 2020-08-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2008.01784,
  title  = {Extension to the Beraha-Kahane-Weiss Theorem with Applications},
  author = {Jason Brown and Peter T. Otto},
  journal= {arXiv preprint arXiv:2008.01784},
  year   = {2020}
}

Comments

13 pages, 6 figures