Pinnacle sets of signed permutations
Discrete Mathematics(2023)
摘要
Pinnacle sets record the values of the local maxima for a given family of permutations. They were introduced by Davis-Nelson-Petersen-Tenner as a dual concept to that of peaks, previously defined by Billey-Burdzy-Sagan. In recent years pinnacles and admissible pinnacles sets for the type A symmetric group have been widely studied. In this article we define the pinnacle set of signed permutations of types B and D. We give a closed formula for the number of type B/D admissible pinnacle sets and answer several other related enumerative questions. (c) 2023 Elsevier B.V. All rights reserved.
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关键词
Pinnacle sets,Admissible pinnacle sets,Signed permutations
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