{
  "id": "0906.4080",
  "version": "v4",
  "published": "2009-06-22T19:53:16.000Z",
  "updated": "2010-10-17T16:15:27.000Z",
  "title": "Uniqueness of electrical currents in a network of finite total resistance",
  "authors": [
    "Agelos Georgakopoulos"
  ],
  "doi": "10.1112/jlms/jdq034",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that if the sum of the resistances of an electrical network $N$ is finite, then there is a unique electrical current in $N$ provided we do not allow, in a sense, any flow to escape to infinity.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-10-17T16:15:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C99",
      "05C21",
      "05C80"
    ],
    "keywords": [
      "finite total resistance",
      "uniqueness",
      "unique electrical current",
      "electrical network"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4080G"
    }
  }
}