3 papers
math.CO2021
Ferrers Graphs, D-Permutations, and Surjective Staircases
Alexander Lazar
We introduce a new family of hyperplane arrangements inspired by the homogenized Linial arrangement (which was recently introduced by Hetyei), and show that the intersection lattic…
math.CO2019
The Homogenized Linial Arrangement and Genocchi Numbers
Alexander Lazar, Michelle L. Wachs
We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number. Us…
math.CO2018
On the Homogenized Linial Arrangement: Intersection Lattice and Genocchi Numbers
Alexander Lazar, Michelle L. Wachs
Hetyei recently introduced a hyperplane arrangement (called the homogenized Linial arrangement) and used the finite field method of Athanasiadis to show that its number of regions…