Permutations with extremal number of fixed points

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Permutations with extremal number of fixed points

Abstract. We extend Stanley’s work on alternating permutations with extremal number of fixed points in two directions: first, alternating permutations are replaced by permutations with a prescribed descent set; second, instead of simply counting permutations we study their generating polynomials by number of excedances. Several techniques are used: Désarménien’s desarrangement combinatorics, Ge...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2009

ISSN: 0097-3165

DOI: 10.1016/j.jcta.2008.08.001