Stack-Sortable Permutations and Polynomials

Authors: İSMAİL Ş. GÜLOĞLU, CEMAL KOÇ

Abstract: The Catalan numbers show up in a diverse variety of counting problems. In this note we give yet another characterization of the Catalan number C(n). It is characterized as the dimension of a certain space of multilinear polynomials by exhibiting a basis.

Keywords: Catalan numbers, stack-sortable permutations, permutations acting on polynomials.

Full Text: PDF