• Title of article

    Counting vertices in Gelfand–Zetlin polytopes

  • Author/Authors

    Gusev، نويسنده , , Pavel and Kiritchenko، نويسنده , , Valentina and Timorin، نويسنده , , Vladlen، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2013
  • Pages
    10
  • From page
    960
  • To page
    969
  • Abstract
    We discuss the problem of counting vertices in Gelfand–Zetlin polytopes. Namely, we deduce a partial differential equation with constant coefficients on the exponential generating function for these numbers. For some particular classes of Gelfand–Zetlin polytopes, the number of vertices can be given by explicit formulas.
  • Keywords
    Gelfand–Zetlin polytopes , f-vector , generating functions
  • Journal title
    Journal of Combinatorial Theory Series A
  • Serial Year
    2013
  • Journal title
    Journal of Combinatorial Theory Series A
  • Record number

    1531893