{
  "id": "0804.0640",
  "version": "v1",
  "published": "2008-04-04T02:05:54.000Z",
  "updated": "2008-04-04T02:05:54.000Z",
  "title": "Further Hopping with Toads and Frogs",
  "authors": [
    "Thotsaporn ``Aek'' Thanatipanonda"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show the value of positions of the combinatorial game ``Toads and Frogs''. We present new values of starting positions. Moreover, we discuss the values of all positions with exactly one $\\Box, \\regT^{a}\\Box\\Box \\regF^{a}, \\regT^{a} \\Box \\Box \\Box \\regF \\regF \\regF,\\regT^{a}\\Box\\Box \\regF^{b}$, $\\regT^{a}\\Box\\Box\\Box \\regF^{b}$. At the end, we post five new conjectures and discuss the possible future work.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-04T02:05:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "91A46"
    ],
    "keywords": [
      "combinatorial game",
      "starting positions",
      "conjectures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.0640A"
    }
  }
}