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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Acknowledgments
We would like to thank Professors L. T. Hoa and N. V. Trung for helpful comments. Part of this work was done while we were at the Vietnam Institute of Advanced Studies in Mathematics (VIASM) in Hanoi, Vietnam. We would like to thank VIASM for its hospitality. We would also like to thank the anonymous referees for many helpful comments.
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Hoang, D.T., Trung, T.N. A characterization of triangle-free Gorenstein graphs and Cohen–Macaulayness of second powers of edge ideals. J Algebr Comb 43, 325–338 (2016). https://doi.org/10.1007/s10801-015-0631-0
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DOI: https://doi.org/10.1007/s10801-015-0631-0