The unimodality of independence polynomials of some graphs

نویسنده

  • Zhi-Feng Zhu
چکیده

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. © 2010 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 38  شماره 

صفحات  -

تاریخ انتشار 2007