{
  "id": "1405.5938",
  "version": "v1",
  "published": "2014-05-23T00:30:53.000Z",
  "updated": "2014-05-23T00:30:53.000Z",
  "title": "Universal and Overlap Cycles for Posets, Words, and Juggling Patterns",
  "authors": [
    "Adam King",
    "Amanda Laubmeier",
    "Kai Orans",
    "Anant Godbole"
  ],
  "comment": "15 pages, 5 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We discuss results dealing with universal cycles (u-cycles) and $s$-overlap cycles, and contribute to the body of those results by proving existence of universal cycles of naturally labeled posets (NL posets), $s$-overlap cycles of words of weight $k$, and juggling patterns. The result on posets is, to the best of our knowledge, the first demonstration of the existence of a u-cycle whose length is unknown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-23T00:30:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B99"
    ],
    "keywords": [
      "overlap cycles",
      "juggling patterns",
      "universal cycles",
      "first demonstration",
      "nl posets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.5938K"
    }
  }
}