4 citations · 6 across the 12 of their papers we have counts for
13 papers
Metrics on Signed Permutations with the Same Peak Set
Kayla Andrus, Nathaniel Larsen, Alyssa MacLennan +3
Let be the Coxeter group of type B. We denote the set of indices where has a peak as and let . In \cite{met…
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…
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…
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…
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…
Repetitions of Pak-Stanley Labels in -Shi Arrangements
Cara Bennett, Lucy Martinez, Ava Mock +2
Given a simple graph , one can define a hyperplane arrangement called the -Shi arrangement. The Pak-Stanley algorithm labels the regions of this arrangement with -…
Enumerating -Naples Parking Functions Through Catalan Objects
João Pedro Carvalho, Pamela E. Harris, Gordon Rojas Kirby +2
This paper studies a generalization of parking functions named -Naples parking functions, where backward movement is allowed. One consequence of backward movement is that the nu…
Weight -multiplicities for representations of the exceptional Lie algebra
Jerrell Cockerham, Melissa Gutiérrez González, Pamela E. Harris +4
Given a simple Lie algebra , Kostant's weight -multiplicity formula is an alternating sum over the Weyl group whose terms involve the -analog of Kostant's parti…
On Kostant's weight -multiplicity formula for
Rebecca E. Garcia, Pamela E. Harris, Marissa Loving +5
The -analog of Kostant's weight multiplicity formula is an alternating sum over a finite group, known as the Weyl group, whose terms involve the -analog of Kostant's partitio…
Visualizing the Support of Kostant's Weight Multiplicity Formula for the Rank Two Lie Algebras
Pamela E. Harris, Marissa Loving, Juan Ramirez +4
The multiplicity of a weight in a finite-dimensional irreducible representation of a simple Lie algebra g can be computed via Kostant's weight multiplicity formula. This formula co…
A Generalization of Parking Functions Allowing Backward Movement
Alex Christensen, Pamela E. Harris, Zakiya Jones +4
Classical parking functions are defined as the parking preferences for cars driving (from west to east) down a one-way street containing parking spaces labeled from to …
On broadcast domination of certain grid graphs
Natasha Crepeau, Pamela E. Harris, Sean Hays +4
Let be a connected graph with vertex set and edge set . We say a subset of dominates if every vertex in is adjacent t…
Nowhere-Zero -Flows on Graphs
Matthias Beck, Alyssa Cuyjet, Gordon Rojas Kirby +2
We introduce and study a multivariate function that counts nowhere-zero flows on a graph G, in which each edge of G has an individual capacity. We prove that the associated countin…