6 papers
Type B c-Birkhoff polytopes are order polytopes
Esther Banaian, Sunita Chepuri, Emily Gunawan +1
In a previous work, we defined (type A) c-Birkhoff polytopes and showed that they were unimodularly equivalent to order polytopes of heap posets. In this note we answer the questio…
Structure and geometry of the tableaux algebra
Spencer Daugherty, Nicolle González, Bárbara Muniz +3
We study the monoid algebra of semistandard Young tableaux, which coincides with the Gelfand--Tsetlin semigroup ring when . Among…
The Chromatic Symmetric Function for Unicyclic Graphs
Aram Bingham, Lisa Johnston, Colin Lawson +3
Motivated by the question of which structural properties of a graph can be recovered from the chromatic symmetric function (CSF), we study the CSF of connected unicyclic graphs. Wh…
-Birkhoff polytopes
Esther Banaian, Sunita Chepuri, Emily Gunawan +1
In a 2018 paper, Davis and Sagan studied several pattern-avoiding polytopes. They found that a particular pattern-avoiding Birkhoff polytope had the same normalized volume as the o…
Type C -Stanley symmetric functions and Kraśkiewicz-Hecke insertion
Joshua Arroyo, Zachary Hamaker, Graham Hawkes +1
We study Type C -Stanley symmetric functions, which are -theoretic extensions of the Type C Stanley symmetric functions. They are indexed by signed permutations and can be us…
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…