Cohen–Macaulay binomial edge ideals of cactus graphs

DOI10.1142/S0219498819500725zbMath1419.13042arXiv1704.07106WikidataQ129960954 ScholiaQ129960954MaRDI QIDQ5383847

Giancarlo Rinaldo

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07106

zbMATH Keywords

binomial idealCohen-Macaulayunmixed ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Connectivity (05C40)

Related Items (11)

Cohen-Macaulay binomial edge ideals and accessible graphs ⋮ Local cohomology of binomial edge ideals and their generic initial ideals ⋮ Cohen-Macaulay binomial edge ideals of small graphs ⋮ Gorenstein binomial edge ideals ⋮ Level and pseudo-Gorenstein binomial edge ideals ⋮ Regularity of powers of (parity) binomial edge ideals ⋮ \((S_2)\)-condition and Cohen-Macaulay binomial edge ideals ⋮ Binomial edge ideals of generalized block graphs ⋮ Krull dimension and regularity of binomial edge ideals of block graphs ⋮ Licci binomial edge ideals ⋮ Binomial edge ideals of unicyclic graphs

Uses Software

• CoCoA

Cites Work

• Binomial edge ideals and conditional independence statements
• Binomial edge ideals of bipartite graphs
• Cohen-Macaulay graphs
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• Some Cohen–Macaulay and Unmixed Binomial Edge Ideals
• Graph connectivity and binomial edge ideals
• Construction of Cohen–Macaulay Binomial Edge Ideals
• Cohen-Macaulay binomial edge ideals of small deviation
• The Two-Triangle Case of the Acquaintance Graph

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