2 citations · 4 across the 5 of their papers we have counts for
7 papers
Extremal diameters of 3-coloring graphs of trees
Shamil Asgarli, Sara Krehbiel, Simon MacLean +1
Given a tree , its 3-coloring graph has as vertices the proper 3-colorings of , with edges joining colorings that differ at exactly one vertex. We call the…
Combinatorial reciprocity for non-intersecting paths
Sam Hopkins, Gjergji Zaimi
We prove a combinatorial reciprocity theorem for the enumeration of non-intersecting paths in a linearly growing sequence of acyclic planar networks. We explain two applications of…
Restricted Birkhoff polytopes and Ehrhart period collapse
Per Alexandersson, Sam Hopkins, Gjergji Zaimi
We show that the polytopes obtained from the Birkhoff polytope by imposing additional inequalities restricting the "longest increasing subsequence" have Ehrhart quasi-polynomials w…
On the classification of higher Auslander algebras for Nakayama algebras
Dag Oskar Madsen, Rene Marczinzik, Gjergji Zaimi
We give new improved bounds for the dominant dimension of Nakayama algebras and use those bounds to give a classification of Nakayama algebras with simple modules that are high…
Frankl's Conjecture for subgroup lattices
Alireza Abdollahi, Russ Woodroofe, Gjergji Zaimi
We show that the subgroup lattice of any finite group satisfies Frankl's Union-Closed Conjecture. We show the same for all lattices with a modular coatom, a family which includes a…
The Topology of Equivariant Hilbert Schemes
Dori Bejleri, Gjergji Zaimi
For a finite group acting linearly on , the equivariant Hilbert scheme is a natural resolution of singularities of $\opera…
Integrality of relative BPS state counts of toric Del Pezzo surfaces
Michel van Garrel, Tony W. H. Wong, Gjergji Zaimi
Relative BPS state counts for log Calabi-Yau surface pairs were introduced by Gross-Pandharipande-Siebert and conjectured by the authors to be integers. For toric Del Pezzo surface…