{
  "id": "1008.2605",
  "version": "v1",
  "published": "2010-08-16T09:12:13.000Z",
  "updated": "2010-08-16T09:12:13.000Z",
  "title": "On the unimodality of independence polynomials of some graphs",
  "authors": [
    "Yi Wang",
    "Bao-Xuan Zhu"
  ],
  "comment": "17 pages, to appear in European Journal of Combinatorics",
  "doi": "10.1016/j.ejc.2010.08.003",
  "categories": [
    "math.CO"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-16T09:12:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69",
      "05A20",
      "12D05"
    ],
    "keywords": [
      "independence polynomial",
      "study unimodality problems",
      "establish recurrence relations",
      "unimodality conjectures",
      "factorizations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2605W"
    }
  }
}