Discrete Mathematics & Theoretical Computer Science
Volume 4 n° 1 (2000), pp. 67-77
| author: | Toufik Mansour and Alek Vainshtein |
|---|---|
| title: | Avoiding maximal parabolic subgroups of Sk |
| keywords: | permutations, forbidden patterns, parabolic subgroups, Laguerre polynomials, rook polynomials |
| abstract: | We find an explicit expression for the generating function of the number of permutations in Sn avoiding a subgroup of Sk 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. |
| reference: | Toufik Mansour and Alek Vainshtein (2000), Avoiding maximal parabolic subgroups of Sk, Discrete Mathematics and Theoretical Computer Science 4, pp. 67-77 |
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