Projective Dimension of String and Cycle Hypergraphs

Published 30 Sep 2013 in math.AC and math.CO | (1309.7948v2)

Abstract: We present a closed formula and a simple algorithmic procedure to compute the projective dimension of square-free monomial ideals associated to string or cycle hypergraphs. As an application, among these ideals we characterize all the Cohen-Macaulay ones.

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