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arXiv · 1508.07713

A Characterization of Triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals

Do Trong Hoang·Tran Nam Trung
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Abstract

We graph-theoretically characterize triangle-free Gorenstein graphs $G$. As an application, we classify when $I(G)^2$ is Cohen-Macaulay.

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Do Trong Hoang, Tran Nam Trung. 2015-08-31. A Characterization of Triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals. https://doi.org/10.1007/s10801-015-0631-0

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