3 citations · 8 across the 30 of their papers we have counts for
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Prism permutations in the Bruhat order
Bridget Eileen Tenner
The boolean elements of a Coxeter group have been characterized and shown to possess many interesting properties and applications. Here we introduce "prism permutations," a general…
Mesas of Stirling permutations
Nicolle González, Pamela E. Harris, Gordon Rojas Kirby +2
Given a Stirling permutation w, we introduce the mesa set of w as the natural generalization of the pinnacle set of a permutation. Our main results characterize admissible mesa set…
Bargain hunting in a Coxeter group
Joel Brewster Lewis, Bridget Eileen Tenner
Petersen and Tenner defined the depth statistic for Coxeter group elements which, in the symmetric group, can be described in terms of a cost function on transpositions. We general…
Pinnacle sets of signed permutations
Nicolle González, Pamela E. Harris, Gordon Rojas Kirby +2
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, pre…