3 papers
math.CO2023
-vector inequalities under weak maps
Gaku Liu, Alexander Mason
We study the behavior of -vectors associated to matroid complexes under weak maps, or inclusions of matroid polytopes. Specifically, we show that the -vector of the order com…
math.CO2020
Cyclic Sieving for Cyclic Codes
Alexander Mason, Victor Reiner, Shruthi Sridhar
Prompted by a question of Jim Propp, this paper examines the cyclic sieving phenomenon (CSP) in certain cyclic codes. For example, it is shown that, among dual Hamming codes over $…
math.CO2017
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=…