İ. Ş. GÜLOĞLU, C. KOÇ

8294

Stack-Sortable Permutations and Polynomials

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.
Anahtar Kelimeler:

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

Stack-Sortable Permutations and Polynomials

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.,

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  • Dibağ, İ.: Duality for Ideals in the Grassmann Algebra, J. Algebra, 1996, 183, 24-37 .
  • Koç, C. and Esin, S.: Annihilators of Principal Ideals in the Exterior Algebra, Taiwanese Journal of Mathematics, Vol. 11, No. 4, pp. 1021-1037, Sept. 2007
  • Stanley, R.P.: “Enumerative Combinatorics, Volume 2”, Cambridge Studies in Advanced Mathematics 62,1999 i. ş. GÜLOĞLU, C. KOÇ Received 14.05.2007
  • Department of Mathematics Doğuş University, Acıbadem, Zeamet Sokak , Kadıköy, İstanbul, TURKEY
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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