On the unimodality of independence polynomials of some graphs

Details On the unimodality of independence polynomials of some graphs On the unimodality of independence polynomials of some graphs

2010-08-16

arxiv.org/abs/1008.2605v1

Mathematics

Combinatorics

17 pages, to appear in European Journal of Combinatorics

Scientific paper

10.1016/j.ejc.2010.08.003

In this paper we study unimodality problems for the independence polynomial
of a graph, including unimodality, log-concavity and reality of zeros. We
establish recurrence relations and give factorizations of independence
polynomials for certain classes of graphs. As applications we settle some
unimodality conjectures and problems.

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