{
  "id": "1203.3264",
  "version": "v2",
  "published": "2012-03-15T04:05:14.000Z",
  "updated": "2015-09-08T21:44:52.000Z",
  "title": "A Bijective Proof of and Identity Extending a Classic Result of Hajos",
  "authors": [
    "Miklos Bona"
  ],
  "comment": "11 pages, 7 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We provide bijective proofs of two classic identities that are very simple to prove using generating functions, but surprisingly difficult to prove combinatorially. The problem of finding a bijective proof for the first identity was first raised in the 1930s. The second, more involved identity takes the first one a step further.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-15T04:05:14.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-09-08T21:44:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05"
    ],
    "keywords": [
      "bijective proof",
      "classic result",
      "identity extending",
      "classic identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.3264B"
    }
  }
}