{
  "id": "1610.04690",
  "version": "v1",
  "published": "2016-10-15T06:04:04.000Z",
  "updated": "2016-10-15T06:04:04.000Z",
  "title": "Negative Circles in Signed Graphs: A Problem Collection",
  "authors": [
    "Thomas Zaslavsky"
  ],
  "comment": "7 pp. CTGTC-2016 (New Delhi, 2016)",
  "categories": [
    "math.CO"
  ],
  "abstract": "I propose that most problems about circles (cycles, circuits) in ordinary graphs that have odd or even length find their proper setting in the theory of signed graphs, where each edge has a sign, $+$ or $-$. Even-circle and odd-circle problems correspond to questions about positive and negative circles in signed graphs. (The sign of a circle is the product of its edge signs.) I outline questions about circles in signed graphs, that seem natural and potentially important.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-15T06:04:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C22",
      "05C38",
      "05C70"
    ],
    "keywords": [
      "signed graphs",
      "negative circles",
      "problem collection",
      "odd-circle problems correspond",
      "ordinary graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}