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math.AC2009
Cohen-Macaulay edge ideal whose height is half of the number of vertices
Marilena Crupi, Giancarlo Rinaldo, Naoki Terai
We consider a class of graphs such that the height of the edge ideal is half of the number of the vertices. We give Cohen-Macaulay criteria for such graphs…
math.AC2008
Betti numbers of mixed product ideals
Giancarlo Rinaldo
We compute the Betti numbers of the resolution of a special class of square-free monomial ideals, the ideals of mixed products. Moreover when these ideals are Cohen-Macaulay we cal…
math.AC2007
Some algebraic invariants of mixed product ideals
Cristodor Ionescu, Giancarlo Rinaldo
We compute some algebraic invariants (e.g. depth, Castelnuovo - Mumford regularity) for a special class of monomial ideals, namely the ideals of mixed products. As a consequence, w…