{
  "id": "2007.05195",
  "version": "v1",
  "published": "2020-07-10T06:40:38.000Z",
  "updated": "2020-07-10T06:40:38.000Z",
  "title": "A survey on the study of real zeros of flow polynomials",
  "authors": [
    "Fengming Dong"
  ],
  "comment": "19 pages, 4 figures and 50 references",
  "journal": "J. Graph Theory 92 (Dec 2019), 361-376",
  "doi": "10.1002/jgt.22458",
  "categories": [
    "math.CO"
  ],
  "abstract": "For a bridgeless graph $G$, its flow polynomial is defined to be the function $F(G,q)$ which counts the number of nonwhere-zero $\\Gamma$-flows on an orientation of $G$ whenever $q$ is a positive integer and $\\Gamma$ is an additive Abelian group of order $q$. It was introduced by Tutte in 1950 and the locations of zeros of this polynomial have been studied by many researchers. This article gives a survey on the results and problems on the study of real zeros of flow polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-10T06:40:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15",
      "05C21",
      "05C31"
    ],
    "keywords": [
      "flow polynomial",
      "real zeros",
      "additive abelian group",
      "nonwhere-zero",
      "positive integer"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}