On some algebraic properties of edge ideals of ladder graphs

DOI10.1080/00927872.2021.2006206zbMath1486.13021OpenAlexW4200392430MaRDI QIDQ5072702

Rohit Verma

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.2006206

zbMATH Keywords

regularityprojective dimensionBetti numbersladder graphsedge ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Graph theory (05C99) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

• Unnamed Item
• Matchings, coverings, and Castelnuovo-Mumford regularity
• Vertex decomposability and regularity of very well-covered graphs
• Progress in commutative algebra 1. Combinatorics and homology
• Linearity defect of edge ideals and Fröberg's theorem
• Regularity, depth and arithmetic rank of bipartite edge ideals
• Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
• On Betti numbers of edge ideals of crown graphs
• Characteristic-independence of Betti numbers of graph ideals
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Nonvanishing of Betti Numbers of Edge Ideals and Complete Bipartite Subgraphs
• Non-vanishingness of Betti Numbers of Edge Ideals
• Resolutions of Facet Ideals
• Splittings of monomial ideals
• Rees algebras of edge ideals
• On Ideals Whose Radical Is a Monomial Ideal

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