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math.CO2026
Rings are -bounded
Sara Asensio, Ignacio García-Marco, Kolja Knauer
We prove that there is a function such that for the zero-divisor graph of any ring , if the clique number is finite. On the on…
math.CO2026
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…
math.AC2026
Generalized Andrásfai graphs and special Betti diagrams of edge ideals
Sara Asensio, Ignacio García-Marco, Philippe Gimenez
Edge ideals of graphs were introduced by Villarreal in 1990, and have been the subject of many studies since then. In the same year, Fröberg characterized edge ideals with regulari…