Dustin Hedmark

most citedBox polynomials and the excedance matrix

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2017★ 1 cited

Box polynomials and the excedance matrix

Richard Ehrenborg, Alex Happ, Dustin Hedmark +1

We consider properties of the box polynomials, a one variable polynomial defined over all integer partitions $λ$ whose Young diagrams fit in an $m$ by $n$ box. We show that these p…

math.CO2016

Filters in the partition lattice

Richard Ehrenborg, Dustin Hedmark

Given a filter $Δ$ in the poset of compositions of $n$ , we form the filter $Π_{Δ}^{*}$ in the partition lattice. We determine all the reduced homology groups of the order complex of…

math.CO2016

Colored Eulerian Polynomials and the Colored Permutohedron

Dustin Hedmark

This paper introduces a colored generalization of the Eulerian polynomials, denoted the $α$ -colored Eulerian polynomials. We first compute these polynomials by taking the $h$ -vecto…