5 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…
Cluster Expansions from Punctured Orbifolds
Esther Banaian, Wonwoo Kang, Elizabeth Kelley +2
We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and -walks - for elements in generalized cluster algebras associated…
-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…
Orbitmesy and promotion on self-dual posets
Esther Banaian, Emily Barnard, Sunita Chepuri +1
We introduce the notion of orbitmesy, which is related to homomesy, a central phenomenon in dynamical algebraic combinatorics. An orbit is said to be orbitmesic with respect to…
Skein relations for punctured surfaces
Esther Banaian, Wonwoo Kang, Elizabeth Kelley
We investigate skein relations in cluster algebras from punctured surfaces, extending the work of Ãanakçi-Schiffler and Musiker-Williams on unpunctured surfaces. Using a combinat…