Abstract : We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions. The generating function turns out to be rational, and its denominator is a rook polynomial for a rectangular board.
https://hal.inria.fr/hal-00958946
Contributeur : Service Ist Inria Sophia Antipolis-Méditerranée / I3s
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Soumis le : jeudi 13 mars 2014 - 16:49:43
Dernière modification le : mercredi 29 novembre 2017 - 10:26:19
Document(s) archivé(s) le : vendredi 13 juin 2014 - 12:03:08
