2 papers
math.AC2026
Generalized Andrásfai graphs and special Betti diagrams of edge ideals
Sara Asensio, Ignacio GarcÃa-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 regular…
math.CO2026
Sensitivity and Hamming graphs
Sara Asensio, Yuval Filmus, Ignacio GarcÃa-Marco +1
For any we show that the Hamming graph admits an imbalanced partition into sets, each inducing a subgraph of low maximum degree. This improves previous resul…