• Title of article

    4-Regular Maps on the Klein Bottle

  • Author/Authors

    Ren، نويسنده , , Han and Liu، نويسنده , , Yanpei، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    20
  • From page
    118
  • To page
    137
  • Abstract
    In this paper the number of rooted near-4-regular maps on the Klein bottle is investigated and formulae with up to four parameters are given. Also the number of rooted near-4-regular maps with exactly k nonroot-vertex loops on this surface is provided. In particular, explicit formulae for counting (loopless) 4-regular maps on this surface are deduced.
  • Keywords
    Lagrangian inversion , enumerating function , MAP
  • Journal title
    Journal of Combinatorial Theory Series B
  • Serial Year
    2001
  • Journal title
    Journal of Combinatorial Theory Series B
  • Record number

    1526823