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Wilf Equivalence for the Charge Statistic

2012/04/13 by Kendra Killpatrick, Killpatrick, Kendra
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Blind Source Separation Techniques #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1204.3121

openalex publication_date 2012/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Savage and Sagan have recently defined a notion of st-Wilf equivalence for any permutation statistic st and any two sets of permutations Π and Π'. In this paper we give a thorough investigation of st-Wilf equivalence for the charge statistic on permutations and use a bijection between the charge statistic and the major index to prove a conjecture of Dokos, Dwyer, Johnson, Sagan and Selsor regarding powers of 2 and the major index.

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