Binomial edge ideals of generalized block graphs

DOI10.1142/S0218196720500526zbMath1451.13045arXiv1910.06787MaRDI QIDQ5135738

Arvind Kumar

Publication date: 23 November 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06787

zbMATH Keywords

Castelnuovo-Mumford regularitybinomial edge idealextremal Betti numbergeneralized block graph

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Other special types of modules and ideals in commutative rings (13C13) Combinatorial aspects of commutative algebra (05E40)

Related Items (2)

Rees algebra and special fiber ring of binomial edge ideals of closed graphs ⋮ Binomial edge ideals of unicyclic graphs

Uses Software

• Macaulay2

Cites Work

• Regularity bounds for binomial edge ideals
• Graded syzygies
• The Castelnuovo-Mumford regularity of binomial edge ideals
• Binomial edge ideals and conditional independence statements
• Binomial edge ideals of bipartite graphs
• On the extremal Betti numbers of binomial edge ideals of block graphs
• Binomial edge ideals of regularity 3
• On the binomial edge ideal of a pair of graphs
• Local cohomology of binomial edge ideals and their generic initial ideals
• The linear strand of determinantal facet ideals
• Regularity of binomial edge ideals of certain block graphs
• Algebraic properties of the binomial edge ideal of complete bipartite graph
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• Ideals defined by matrices and a certain complex associated with them
• Krull dimension and regularity of binomial edge ideals of block graphs
• Some Cohen–Macaulay and Unmixed Binomial Edge Ideals
• Monomial Ideals
• Hilbert series of binomial edge ideals
• On the regularity of binomial edge ideals
• Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs
• Graph connectivity and binomial edge ideals
• Cohen–Macaulay binomial edge ideals of cactus graphs
• Construction of Cohen–Macaulay Binomial Edge Ideals

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