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Algebraic properties of toric rings of graphs

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Abstract Let 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… Click to show full abstract

Abstract Let 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.

Keywords: toric rings; algebraic properties; rings graphs; properties toric

Journal Title: Communications in Algebra
Year Published: 2019

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