• Title of article

    Descent polynomials for permutations with bounded drop size

  • Author/Authors

    Chung، نويسنده , , Fan and Claesson، نويسنده , , Anders and Dukes، نويسنده , , Mark and Graham، نويسنده , , Ronald، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    15
  • From page
    1853
  • To page
    1867
  • Abstract
    Motivated by juggling sequences and bubble sort, we examine permutations on the set { 1 , 2 , … , n } with d descents and maximum drop size k . We give explicit formulas for enumerating such permutations for given integers k and d . We also derive the related generating functions and prove unimodality and symmetry of the coefficients.
  • Journal title
    European Journal of Combinatorics
  • Serial Year
    2010
  • Journal title
    European Journal of Combinatorics
  • Record number

    1550311