14 citations · 49 across the 14 of their papers we have counts for
16 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…
-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…
Maximal almost rigid modules over gentle algebras
Emily Barnard, Raquel Coelho Simoes, Emily Gunawan +1
We study maximal almost rigid modules over a gentle algebra . We prove that the number of indecomposable direct summands of every maximal almost rigid -module is equal to the…
Infinite friezes of affine type D
Karin Baur, Léa Bittmann, Emily Gunawan +2
In this article, we study infinite friezes arising from cluster categories of affine type and determine the growth coefficients for these friezes. We prove that for each affine…
RSK tableaux and the weak order on fully commutative permutations
Emily Gunawan, Jianping Pan, Heather M. Russell +1
For each fully commutative permutation, we construct a "boolean core," which is the maximal boolean permutation in its principal order ideal under the right weak order. We partitio…
Box-ball systems and RSK recording tableaux
Marisa Cofie, Olivia Fugikawa, Emily Gunawan +2
A box-ball system (BBS) is a discrete dynamical system consisting of n balls in an infinite strip of boxes. During each BBS move, the balls take turns jumping to the first empty bo…
Superunitary regions of cluster algebras
Emily Gunawan, Greg Muller
This note introduces the superunitary region of a cluster algebra, the subspace of the totally positive region on which each cluster variable is at least 1. Our main result is that…
Runs and RSK tableaux of boolean permutations
Emily Gunawan, Jianping Pan, Heather M. Russell +1
We define and construct the "canonical reduced word" of a boolean permutation, and show that the RSK tableaux for that permutation can be read off directly from this reduced word.…
RSK tableaux and box-ball systems
Ben Drucker, Eli Garcia, Emily Gunawan +2
A box-ball system is a discrete dynamical system whose dynamics come from the balls jumping according to certain rules. A permutation on n objects gives a box-ball system state by…
Cambrian combinatorics on quiver representations (type A)
Emily Barnard, Emily Gunawan, Emily Meehan +1
This paper presents a geometric model of the Auslander-Reiten quiver of a type A quiver together with a stability function for which all indecomposable modules are stable. We also…
Cluster algebras and binary subwords
Rachel Bailey, Emily Gunawan
This paper establishes a connection between binary subwords and perfect matchings of a snake graph, an important tool in the theory of cluster algebras. Every binary expansion w ca…
Frieze Vectors and Unitary Friezes
Emily Gunawan, Ralf Schiffler
Let Q be a quiver without loops and 2-cycles, let A(Q) be the corresponding cluster algebra and let x be a cluster. We introduce a new class of integer vectors which we call frieze…
Cluster algebraic interpretation of infinite friezes
Emily Gunawan, Gregg Musiker, Hannah Vogel
Originally studied by Conway and Coxeter, friezes appeared in various recreational mathematics publications in the 1970s. More recently, in 2015, Baur, Parsons, and Tschabold const…
Kirillov-Reshetikhin crystals for using Nakajima monomials
Emily Gunawan, Travis Scrimshaw
We give a realization of the Kirillov--Reshetikhin crystal using Nakajima monomials for using the crystal structure given by Kashiwara. We des…
Noncrossing partitions, toggles, and homomesies
David Einstein, Miriam Farber, Emily Gunawan +4
We introduce natural involutions ("toggles") on the set of noncrossing partitions of size , along with certain composite operations obtained by composing thes…
T-Path Formula and Atomic Bases for Cluster Algebras of Type D
Emily Gunawan, Gregg Musiker
We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that clus…