English

Graphs with few matching roots

Combinatorics 2012-04-24 v3

Abstract

We determine all graphs whose matching polynomials have at most five distinct zeros. As a consequence, we find new families of graphs which are determined by their matching polynomial.

Keywords

Cite

@article{arxiv.1011.0284,
  title  = {Graphs with few matching roots},
  author = {Ebrahim Ghorbani},
  journal= {arXiv preprint arXiv:1011.0284},
  year   = {2012}
}

Comments

14 pages, 7 figures, 1 appendix table. Final version. Some typos are fixed

R2 v1 2026-06-21T16:36:59.140Z