Abstract
We give a structure theorem for Cohen–Macaulay monomial ideals of codimension 2, and describe all possible relation matrices of such ideals. In case that the ideal has a linear resolution, the relation matrices can be identified with the spanning trees of a connected chordal graph with the property that each distinct pair of maximal cliques of the graph has at most one vertex in common.
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Naeem, M. Cohen–Macaulay monomial ideals of codimension 2. manuscripta math. 127, 533–545 (2008). https://doi.org/10.1007/s00229-008-0217-4
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DOI: https://doi.org/10.1007/s00229-008-0217-4