9 citations · 18 across the 9 of their papers we have counts for
10 papers
Dot actions and Hessenberg spaces for dihedral groups
Jonathan Boretsky, Reuven Hodges, Nathan Lesnevich +2
Splines on Weyl groups model the equivariant cohomology of regular semisimple Hessenberg varieties, and the natural group action on them encodes the monodromy action. The resulting…
List coloring -free planar graphs with a sparse matching of restricted lists
Stephen G. Hartke, Yupei Li, Joseph Pappe +3
A graph is -choosable if it has a proper coloring for every -list assignment. While every -free planar graph is -choosable, some of them are not -choosable, as…
A note on the log-concavity of parking functions
Joseph Pappe
We settle a conjecture of Bóna regarding the log-concavity of a certain statistic on parking functions by utilizing recent log-concavity results on matroids. This result allows us…
When is the chromatic quasisymmetric function symmetric?
Maria Gillespie, Joseph Pappe, Kyle Salois
We investigate the problem of when a chromatic quasisymmetric function (CQF) of a graph is in fact symmetric. We first prove the remarkable fact that if a product of…
Hook-valued tableau uncrowding and tableau switching
Jihyeug Jang, Jang Soo Kim, Jianping Pan +2
Refined canonical stable Grothendieck polynomials were introduced by Hwang, Jang, Kim, Song, and Song. There exist two combinatorial models for these polynomials: one using hook-va…
Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux
Joseph Pappe, Stephan Pfannerer, Anne Schilling +1
We construct an injection from the set of -fans of Dyck paths (resp. vacillating tableaux) of length into the set of chord diagrams on that intertwines promotion and r…
A combinatorial proof of a symmetry for a refinement of the Narayana numbers
Miklós Bóna, Stoyan Dimitrov, Gilbert Labelle +4
We establish a tantalizing symmetry of certain numbers refining the Narayana numbers. In terms of Dyck paths, this symmetry is interpreted in the following way: if is t…
The Burge correspondence and crystal graphs
Joseph Pappe, Digjoy Paul, Anne Schilling
The Burge correspondence yields a bijection between simple labelled graphs and semistandard Young tableaux of threshold shape. We characterize the simple graphs of hook shape by pe…
An area-depth symmetric -Catalan polynomial
Joseph Pappe, Digjoy Paul, Anne Schilling
We define two symmetric -Catalan polynomials in terms of the area and depth statistic and in terms of the dinv and dinv of depth statistics. We prove symmetry using an involut…
Uncrowding algorithm for hook-valued tableaux
Jianping Pan, Joseph Pappe, Wencin Poh +1
Whereas set-valued tableaux are the combinatorial objects associated to stable Grothendieck polynomials, hook-valued tableaux are associated to stable canonical Grothendieck polyno…