{
  "id": "1410.5855",
  "version": "v1",
  "published": "2014-10-21T20:58:28.000Z",
  "updated": "2014-10-21T20:58:28.000Z",
  "title": "Graph-theoretic perspective on a special class of Steiner Systems",
  "authors": [
    "Jithin Mathews"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Here we study $S(t-1,t,2t)$, which is a special class of Steiner systems. Simple constructions for designing such systems are developed under a graph-theoretic platform where Steiner systems are represented in the form of uniform hypergraphs. The constructions devised are then used to study the $2$-coloring properties of these uniform hypergraphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-21T20:58:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "steiner systems",
      "special class",
      "graph-theoretic perspective",
      "uniform hypergraphs",
      "simple constructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.5855M"
    }
  }
}