English

On the location of roots of graph polynomials

Combinatorics 2013-10-08 v3

Abstract

Roots of graph polynomials such as the characteristic polynomial, the chromatic polynomial, the matching polynomial, and many others are widely studied. In this paper we examine to what extent the location of these roots reflects the graph theoretic properties of the underlying graph.

Keywords

Cite

@article{arxiv.1309.1941,
  title  = {On the location of roots of graph polynomials},
  author = {Johann A. Makowsky and Elena V. Ravve and Nicolas K. Blanchard},
  journal= {arXiv preprint arXiv:1309.1941},
  year   = {2013}
}

Comments

21 pages, 4 figures