9 citations · 27 across the 27 of their papers we have counts for
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math.AC2003★ 1 cited
Simplicial Trees are Sequentially Cohen-Macaulay
Sara Faridi
This paper uses dualities between facet ideal theory and Stanley-Reisner theory to show that the facet ideal of a simplicial tree is sequentially Cohen-Macaulay. The proof involves…
math.AC2003★ 3 cited
Cohen-Macaulay Properties of Square-Free Monomial Ideals
Sara Faridi
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebraic statements about their facet ideals. We introduce a large class of square-fre…