Regularity of powers of edge ideals of product of graphs

DOI10.1142/S0219498818501281zbMath1391.13042OpenAlexW2662189457MaRDI QIDQ4566062

S. Selvaraja

Publication date: 14 June 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818501281

zbMATH Keywords

Castelnuovo-Mumford regularityproduct of graphspowers of edge ideals

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Linear polynomials for the regularity of powers of edge ideals of very well-covered graphs ⋮ Certain algebraic invariants of edge ideals of join of graphs ⋮ Bounds for the regularity of product of edge ideals

Cites Work

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• Matchings, coverings, and Castelnuovo-Mumford regularity
• Regularity of powers of forests and cycles
• Regularity of powers of bipartite graphs
• \(C_{4}\)-free edge ideals
• The regularity of powers of edge ideals
• Powers of edge ideals of regularity three bipartite graphs
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Regularity of powers of edge Ideal of whiskered cycles
• Monomial ideals whose powers have a linear resolution
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Algebraic Properties of Product of Graphs
• Poincaré Series of some Hypergraph Algebras

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