3 papers
math.CO2019
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…
math.CO2018
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…
math.CO2018
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…