A Note on Cohen–Macaulay Graphs

DOI10.1080/00927872.2015.1027361zbMath1361.05062OpenAlexW2295974917MaRDI QIDQ2810617

Antonio Macchia, Margherita Barile

Publication date: 3 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027361

zbMATH Keywords

bipartite graphedge idealunmixed grapharithmetical rankCohen-Macaulay graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Ideals and multiplicative ideal theory in commutative rings (13A15)

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Cites Work

• Regularity, depth and arithmetic rank of bipartite edge ideals
• A new explicit finite free resolution of ideals generated by monomials in an R-sequence
• Cohen-Macaulay graphs
• Very well covered graphs
• Distributive lattices, bipartite graphs and Alexander duality
• Lyubeznik resolutions and the arithmetical rank of monomial ideals
• Cohen-Macaulay edge ideal whose height is half of the number of vertices