Algebraic properties of toric rings of graphs

2017/03/24 by Selvi Kara, Kara, Selvi, Huy Tài Hà +3
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1703.08270

openalex publication_date 2017/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Regularity and h-polynomials of toric ideals of graphs
• Bounds on the regularity of toric ideals of graphs
• Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams
• Toric rings attached to simplicial complexes
• Inequalities of invariants on Stanley-Reisner rings of Cohen-Macaulay simplicial complexes