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20122024
most citedCombinatorial Identities for Vacillating Tableaux

1 citations · 2 across the 13 of their papers we have counts for

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7 papers · 1 filter

math.CO2024

Enumerating runs, valleys, and peaks in Catalan words

Jean-Luc Baril, Pamela E. Harris, Kimberly J. Harry +2

We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (desce…

math.CO2024

Boolean intervals in the weak Bruhat order of a finite Coxeter group

Ben Adenbaum, Jennifer Elder, Pamela E. Harris +1

Given a Coxeter group with Coxeter system , where is finite. We provide a complete characterization of Boolean intervals in the weak order of uniformly for all C…

math.CO2024

On the Lucky and Displacement Statistics of Stirling Permutations

Laura Colmenarejo, Aleyah Dawkins, Jennifer Elder +5

Stirling permutations are parking functions, and we investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we…

math.CO2024

Unit interval parking functions and the -Fubini numbers

S. Alex Bradt, Jennifer Elder, Pamela E. Harris +5

We recall that unit interval parking functions of length are a subset of parking functions in which every car parks in its preference or in the spot after its preference, and F…

math.CO20231 cited

Combinatorial Identities for Vacillating Tableaux

Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2

Vacillating tableaux are sequences of integer partitions that satisfy specific conditions. The concept of vacillating tableaux stems from the representation theory of the partition…

math.CO20231 cited

Unit-Interval Parking Functions and the Permutohedron

Lucas Chaves Meyles, Pamela E. Harris, Richter Jordaan +3

Unit-interval parking functions are subset of parking functions in which cars park at most one spot away from their preferred parking spot. In this paper, we characterize unit-inte…