On the generating function for consecutively weighted permutations

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On the generating function for consecutively weighted permutations

1. Weighted enumeration For a vector x = (x1, . . . , xk) of k distinct real numbers, define Π(x) to be the standardization of the vector x, that is, the unique permutation σ = (σ1, . . . , σk) in Sk such that for all indices 1 ≤ i < j ≤ k the inequality xi < xj is equivalent to σi < σj. Let S be a set of permutations in the symmetric group Sm+1. We say that a permutation π in Sn avoids the set...

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2014

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2014.05.001