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math.AC2023
Graded Betti numbers of a hyperedge ideal associated to join of graphs
Sourav Kanti Patra, Amit Roy
Let be a finite simple graph on the vertex set and let be a positive integer. We consider the hypergraph whose vertices are the vertices of a…
math.AC2023
Fröberg's Theorem, vertex splittability and higher independence complexes
Priyavrat Deshpande, Amit Roy, Anurag Singh +1
A celebrated theorem of Fröberg gives a complete combinatorial classification of quadratic square-free monomial ideals with a linear resolution. A generalization of this theorem to…