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math.AC2023
Splittings for symbolic powers of edge ideals of complete graphs
Susan M. Cooper, Sergio Da Silva, Max Gutkin +1
In this paper we study the -th symbolic powers of the edge ideals of complete graphs. In particular, we provide a criterion for finding an Eliahou-Kervaire splitting on these id…
math.AC2022★ 1 cited
Geometric vertex decomposition and liaison for toric ideals of graphs
Mike Cummings, Sergio Da Silva, Jenna Rajchgot +1
The geometric vertex decomposability property for polynomial ideals is an ideal-theoretic generalization of the vertex decomposability property for simplicial complexes. Indeed, a…