4 citations · 5 across the 5 of their papers we have counts for
5 papers
Lattice path matroidal subdivisions, Positive Tropical Grassmannian and Amplituhedron
Ayush Kumar Tewari, Ahmed Umer Ashraf
We introduce the notion of lattice path matroidal subdivisions, or LPM subdivisions for short, and show that these subdivisions are regular and hence the weight vectors for them li…
Matroid Chern-Schwartz-MacPherson cycles and Tutte activities
Ahmed Umer Ashraf, Spencer Backman
Lopéz de Medrano-Rinćon-Shaw defined Chern-Schwartz-MacPherson cycles for an arbitrary matroid and proved by an inductive geometric argument that the unsigned degrees of these…
Eulerian polynomials for subarrangements of Weyl arrangements
Ahmed Umer Ashraf, Tan Nhat Tran, Masahiko Yoshinaga
Let be a Weyl arrangement. We introduce and study the notion of -Eulerian polynomial producing an Eulerian-like polynomial for any subarrangement of $\ma…
Character polynomials for two rows and hook partitions
Ahmed Umer Ashraf
Representation theory of the symmetric group has a very distinctive combinatorial flavor. The conjugacy classes as well as the irreducible characters are indexed b…
Another approach to volume of matroid polytopes
Ahmed Umer Ashraf
We present a new algorithm for computing the volume of an arbitrary matroid base polytope. We provide two applications of this approach: a relation between the volume of the base p…