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math.AC2012★ 3 cited
Combinatorial degree bound for toric ideals of hypergraphs
Elizabeth Gross, Sonja Petrović
Associated to any hypergraph is a toric ideal encoding the algebraic relations among its edges. We study these ideals and the combinatorics of their minimal generators, and derive…
math.AC2012★ 1 cited
Toric algebra of hypergraphs
Sonja Petrović, Despina Stasi
The edges of any hypergraph parametrize a monomial algebra called the edge subring of the hypergraph. We study presentation ideals of these edge subrings, and describe their genera…