The Distribution of the Intertwining Number on Perfect Matchings

Yonah Cherniavsky; Yuval Khachatryan-Raziel

doi:10.1007/s11253-026-02594-5

The Distribution of the Intertwining Number on Perfect Matchings

Yonah Cherniavsky
, Yuval Khachatryan-Raziel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Ehrenborg and Readdy defined the intertwining number on set partitions. Considering this statistic on perfect matchings, we provide an additional combinatorial description and present an explicit generating function. In particular, we show that the intertwining number on perfect matchings is essentially equidistributed with the rank function of the strong Bruhat order on fixed-point-free involutions of the symmetric group.

Original language	English
Article number	62
Journal	Ukrainian Mathematical Journal
Volume	78
Issue number	3
DOIs	https://doi.org/10.1007/s11253-026-02594-5
State	Published - Jun 2026

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The Distribution of the Intertwining Number on Perfect Matchings

Abstract

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