Wilf Equivalence for the Charge Statistic

Details Wilf Equivalence for the Charge Statistic Wilf Equivalence for the Charge Statistic

2012-04-13

arxiv.org/abs/1204.3121v1

Mathematics

Combinatorics

Scientific paper

Savage and Sagan have recently defined a notion of st-Wilf equivalence for any permutation statistic st and any two sets of permutations $\Pi$ and $\Pi'$. 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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