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arxiv: 1703.08270 · v2 · pith:KCCAFQAN · submitted 2017-03-24 · math.AC

Algebraic properties of toric rings of graphs

Selvi Kara , Huy Tai Ha , Augustine O'Keefe This is my paper

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classification math.AC
keywords toricalgebraicringsassociatedcastelnuovo-mumfordcohen-macaulaynessdimensiongraph
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Let $G = (V,E)$ be a simple graph. We investigate the Cohen-Macaulayness and algebraic invariants, such as the Castelnuovo-Mumford regularity and the projective dimension, of the toric ring $k[G]$ via those of toric rings associated to induced subgraphs of $G$.

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