4 citations · 24 across the 28 of their papers we have counts for
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math.AC2012★ 4 cited
Hypergraphs and the Regularity of Square-free Monomial Ideals
Kuei-Nuan Lin, Jason McCullough
We define a new combinatorial object, which we call a labeled hypergraph, uniquely associated to any square-free monomial ideal. We prove several upper bounds on the regularity of…
math.AC2012★ 2 cited
Rees algebras of square-free monomial ideals
Louiza Fouli, Kuei-Nuan Lin
We study the defining equations of the Rees algebra of square-free monomial ideals in a polynomial ring over a field. We determine that when an ideal is generated by square…