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

Published 31 Aug 2015 in math.AC and math.CO | (1508.07713v1)

Abstract: We graph-theoretically characterize triangle-free Gorenstein graphs GG. As an application, we classify when I(G)<sup>2I(G)<sup>2 is Cohen-Macaulay.

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