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arXiv · 1703.08270

Algebraic properties of toric rings of graphs

Selvi Kara·Huy Tai Ha·Augustine O'Keefe
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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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Selvi Kara, Huy Tai Ha, Augustine O'Keefe. 2017-07-12. Algebraic properties of toric rings of graphs. https://arxiv.org/abs/1703.08270

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