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Algebraic properties of toric rings of graphs
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classification
math.AC
keywords
toricalgebraicringsassociatedcastelnuovo-mumfordcohen-macaulaynessdimensiongraph
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abstract
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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