English

Graphs which their certain polynomials have few distinct roots- a survey

Combinatorics 2011-12-06 v1

Abstract

Let G = (V;E) be a simple graph. We consider domination polynomial, matching polynomial and edge cover polynomial of G. Graphs which their polynomials have few roots can give sometimes a very surprising information about the structure of the graph. In this paper we study graphs which their domination polynomial, independence polynomial and edge cover polynomial have few roots.

Keywords

Cite

@article{arxiv.1112.0838,
  title  = {Graphs which their certain polynomials have few distinct roots- a survey},
  author = {Saeid Alikhani},
  journal= {arXiv preprint arXiv:1112.0838},
  year   = {2011}
}

Comments

21 pages (with figures)

R2 v1 2026-06-21T19:46:08.597Z