{
  "id": "1507.02190",
  "version": "v1",
  "published": "2015-07-08T15:08:04.000Z",
  "updated": "2015-07-08T15:08:04.000Z",
  "title": "Asymmetric Latin squares, Steiner triple systems, and edge-parallelisms",
  "authors": [
    "Peter J. Cameron"
  ],
  "comment": "Document of possible historical interest",
  "categories": [
    "math.CO"
  ],
  "abstract": "This article, showing that almost all objects in the title are asymmetric, is re-typed from a manuscript I wrote somewhere around 1980 (after the papers of Bang and Friedland on the permanent conjecture but before those of Egorychev and Falikman). I am not sure of the exact date. The manuscript had been lost, but surfaced among my papers recently. I am grateful to Laci Babai and Ian Wanless who have encouraged me to make this document public, and to Ian for spotting a couple of typos. In the section on Latin squares, Ian objects to my use of the term \"cell\"; this might be more reasonably called a \"triple\" (since it specifies a row, column and symbol), but I have decided to keep the terminology I originally used. The result for Latin squares is in B. D. McKay and I. M. Wanless, On the number of Latin squares, Annals of Combinatorics 9 (2005), 335-344 (arXiv 0909.2101), while the result for Steiner triple systems is in L. Babai, Almost all Steiner triple systems are asymmetric, Annals of Discrete Mathematics 7 (1980), 37-39.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-08T15:08:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B07"
    ],
    "keywords": [
      "steiner triple systems",
      "asymmetric latin squares",
      "edge-parallelisms",
      "manuscript",
      "ian objects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}