Projective Dimension of String and Cycle Hypergraphs |
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| Authors: | Kuei-Nuan Lin |
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| Institution: | Pennsylvania State University, Greater Allegheny, McKeesport, Pennsylvania, USA |
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| 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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| Keywords: | Free resolutions Hypergraphs Projective dimension Square-free monomial ideals |
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