2 papers
math.CO2021
An equidistribution involving invisible inversions
Michael Coopman, Martin Rubey
We provide two explicit bijections demonstrating that, among permutations, the number of invisible inversions is equidistributed with the number of occurrences of the vincular patt…
math.CO2021
Involutions under Bruhat order and labeled Motzkin Paths
Michael Coopman, Zachary Hamaker
In this note, we introduce a statistic on Motzkin paths that describes the rank generating function of Bruhat order for involutions. Our proof relies on a bijection introduced by P…