26 citations · 30 across the 5 of their papers we have counts for
7 papers · 1 filter
Decorated square paths at q=-1
Sylvie Corteel, Alexander Lazar, Anna Vanden Wyngaerd
The valley Delta square conjecture states that the symmetric function can be expressed as the enumerator of a certain class of decorated sq…
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…
On the -Enumeration of Barely Set-Valued Tableaux and Plane Partitions
Sam Hopkins, Alexander Lazar, Svante Linusson
Barely set-valued tableaux are a variant of Young tableaux in which one box contains two numbers as its entry. It has recently been discovered that there are product formulas enume…
Partition and Cohen-Macaulay Extenders
Joseph Doolittle, Bennet Goeckner, Alexander Lazar
If a pure simplicial complex is partitionable, then its -vector has a combinatorial interpretation in terms of any partitioning of the complex. Given a non-partitionable complex…
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…
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…
A Chip-Firing Game on the Product of Two Graphs and the Tropical Picard Group
Alexander Lazar
In his preprint https://arxiv.org/abs/1308.3813, Cartwright introduced the notion of a weak tropical complex in order to generalize the concepts of divisors and the Picard group on…