40 citations · 95 across the 43 of their papers we have counts for
5 papers · 1 filter
Minimal examples of Cohen-Macaulay independence complexes that fail to be shellable or vertex decomposable
Adam Van Tuyl
We report on an exhaustive census of all 1,006,700,565 connected graphs on vertices to find the minimal examples of graphs whose independence complexes are Cohen-Macaulay but…
Edge codes constructed from unicyclic graphs
Sara Asensio, Giulia Gaggero, Naveena Ragunathan +2
Jaramillo-Velez recently introduced edge codes, a new class of toric evaluation codes constructed from the edges of a (hyper)graph . In the case that is…
Geometrically vertex decomposable star configurations
Susan M. Cooper, Emanuela Marangone, Elena Guardo +1
The goal of this paper is to determine how the family of ideals of star configurations intersects with the class of geometrically vertex decomposable ideals. The main result of thi…
Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology
Carles Checa, Michael DiPasquale, Pablo Mazón +5
We study the space of splines where denotes a smoothness distribution and is the fan of a central hyperplan…
The van der Waerden Simplicial Complex and its Lefschetz Properties
Naveena Ragunathan, Adam Van Tuyl
The van der Waerden simplicial complex, denoted , is the simpicial complex whose facets correspond to the arithmetic progressions of length in the set $\{1,\ldo…