6 papers
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…
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…
-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…
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…
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…
Type C -Stanley symmetric functions and KraÅkiewicz-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…