Projective Dimension of String and Cycle Hypergraphs
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math.CO
keywords
cycledimensionhypergraphsidealsprojectivestringalgorithmicapplication
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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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