Cohen-Macaulay edge ideal whose height is half of the number of vertices

Mathematics – Commutative Algebra

Scientific paper

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12 Pages,2 figures

Scientific paper

We consider a class of graphs $G$ such that the height of the edge ideal
$I(G)$ is half of the number $\sharp V(G)$ of the vertices. We give
Cohen-Macaulay criteria for such graphs.

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