4 citations · 8 across the 13 of their papers we have counts for
14 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…
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…
-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…
Snake Graphs for Graph LP Algebras
Esther Banaian, Sunita Chepuri, Elizabeth Kelley +1
Graph LP algebras are a generalization of cluster algebras introduced by Lam and Pylyavskyy. We provide a combinatorial proof of positivity for certain cluster variables in these a…
Rooted Clusters for Graph LP Algebras
Esther Banaian, Sunita Chepuri, Elizabeth Kelley +1
LP algebras, introduced by Lam and Pylyavskyy, are a generalization of cluster algebras. These algebras are known to have the Laurent phenomenon, but positivity remains conjectural…
Electrical networks and Lagrangian Grassmannians
Sunita Chepuri, Terrence George, David E Speyer
Cactus networks were introduced by Lam as a generalization of planar electrical networks. He defined a map from these networks to the Grassmannian Gr() and showed that the…
-positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants
Sunita Chepuri, Melissa Sherman-Bennett
In this note, we show that certain dual canonical basis elements of are positive when evaluated on -positive matrices, matrices whose minors of size $k \times…
Symmetric Group Action of the Birational -matrix
Sunita Chepuri, Feiyang Lin
The birational -matrix is a transformation that appears in the theory of geometric crystals, the study of total positivity in loop groups, and discrete dynamical systems. This $…
1324- and 2143-avoiding Kazhdan-Lusztig immanants and k-positivity
Sunita Chepuri, Melissa Sherman-Bennett
Immanants are functions on square matrices generalizing the determinant and permanent. Kazhdan-Lusztig immanants, which are indexed by permutations, involve specializations o…
Arborescences of Covering Graphs
Sunita Chepuri, CJ Dowd, Andy Hardt +3
An arborescence of a directed graph is a spanning tree directed toward a particular vertex . The arborescences of a graph rooted at a particular vertex may be encoded as a p…
Recovering Conductances of Resistor Networks in a Punctured Disk
Yulia Alexandr, Brian Burks, Sunita Chepuri +1
The response matrix of a resistor network is the linear map from the potential at the boundary vertices to the net current at the boundary vertices. For circular planar resistor ne…
Plabic R-matrices
Sunita Chepuri
Postnikov's plabic graphs in a disk are used to parametrize totally positive Grassmannians. In recent years plabic graphs have found numerous applications in math and physics. One…
Parametrizations of -Nonnegative Matrices: Cluster Algebras and -Positivity Tests
Anna Brosowsky, Sunita Chepuri, Alex Mason
A -positive matrix is a matrix where all minors of order or less are positive. Computing all such minors to test for -positivity is inefficient, as there are $\sum_{\ell=…
Factorizations of -Nonnegative Matrices
Sunita Chepuri, Neeraja Kulkarni, Joe Suk +1
A matrix is -nonnegative if all its minors of size or less are nonnegative. We give a parametrized set of generators and relations for the semigroup of -nonnegative $n\ti…