Geodesic
A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals
Journal of Algebraic Combinatorics, Tome 43 (2016) no. 2, pp. 325-338.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We graph-theoretically characterize triangle-free Gorenstein graphs $G$. As an application, we classify when $I(G)^2$ is Cohen-Macaulay.
Classification : 05E40, 05E45, 05C50, 13C14
Keywords: triangle-free, well-covered, edge ideal, Cohen-Macaulay 
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     author = {Hoang, Do Trong and Trung, Tran Nam},
     title = {A characterization of triangle-free {Gorenstein} graphs and {Cohen-Macaulayness} of second powers of edge ideals},
     journal = {Journal of Algebraic Combinatorics},
     pages = {325--338},
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     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2016__43_2_a6/}
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Hoang, Do Trong; Trung, Tran Nam. A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals. Journal of Algebraic Combinatorics, Tome 43 (2016) no. 2, pp. 325-338. http://geodesic.mathdoc.fr/item/JAC_2016__43_2_a6/