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Inversion Generating Functions for Signed Pattern Avoiding Permutations

Published in The Electronic Journal of Combinatorics • Feb 17, 2017
NobleIDNI4P58W17R58S55
Authors:
Naiomi T. Cameron
,
Kendra Killpatrick

Abstract

We consider the classical Mahonian statistics on the set $B_n(\Sigma)$ of signed permutations in the hyperoctahedral group $B_n$ which avoid all patterns in $\Sigma$, where $\Sigma$ is a set of patterns of length two. In 2000, Simion gave the cardinality of $B_n(\Sigma)$ in the cases where $\Sigma$ ...

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