{
  "id": "1106.1762",
  "version": "v3",
  "published": "2011-06-09T09:52:58.000Z",
  "updated": "2013-08-30T15:53:34.000Z",
  "title": "Extending bicolorings for Steiner Triple Systems",
  "authors": [
    "M. Gionfriddo",
    "E. Guardo",
    "L. Milazzo"
  ],
  "comment": "We replace the old version \"Extended colorings for $BSTS(2v+1)$\"; the related appendix is arxiv:1308.4793. To appear in Applicable Analysis and Discrete Mathematics",
  "categories": [
    "math.CO"
  ],
  "abstract": "We initiate the study of extended bicolorings of Steiner triple systems (STS) which start with a $k$-bicoloring of an STS($v$) and end up with a $k$-bicoloring of an STS($2v+1$) obtained by a doubling construction, using only the original colors used in coloring the subsystem STS($v$). By producing many such extended bicolorings, we obtain several infinite classes of orders for which there exist STSs with different lower and upper chromatic number.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-08-30T15:53:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B05",
      "05C15",
      "51E10"
    ],
    "keywords": [
      "steiner triple systems",
      "extending bicolorings",
      "extended bicolorings",
      "upper chromatic number",
      "original colors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.1762G"
    }
  }
}