{
  "id": "1410.7039",
  "version": "v1",
  "published": "2014-10-26T15:04:41.000Z",
  "updated": "2014-10-26T15:04:41.000Z",
  "title": "Recipe theorems for polynomial invariants on ribbon graphs with half-edges",
  "authors": [
    "Remi C. Avohou",
    "Joseph Ben Geloun",
    "Mahouton N. Hounkonnou"
  ],
  "comment": "24 pages, 14 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We provide recipe theorems for the Bollob\\`as and Riordan polynomial $\\mathcal{R}$ defined on classes of ribbon graphs with half-edges introduced in arXiv:1310.3708[math.GT]. We also define a generalized transition polynomial $Q$ on this new category of ribbon graphs and establish a relationship between $Q$ and $\\mathcal{R}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-26T15:04:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C10",
      "57M15"
    ],
    "keywords": [
      "ribbon graphs",
      "recipe theorems",
      "polynomial invariants",
      "half-edges",
      "riordan polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7039A"
    }
  }
}