On Betti numbers of edge ideals of crown graphs

DOI10.1007/s13366-018-0397-3zbMath1408.13038OpenAlexW2801745334WikidataQ129971630 ScholiaQ129971630MaRDI QIDQ1728774

Pavinder Singh, Shahnawaz Ahmad Rather

Publication date: 26 February 2019

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-018-0397-3

zbMATH Keywords

regularityprojective dimensionBetti numbersbouquetscrown graphs

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)

Related Items (7)

On the linear strand of edge ideals of some zero-divisor graphs ⋮ Algebraic properties of edge ideals and cover ideals of unbalanced crown graphs ⋮ On some algebraic properties of edge ideals of ladder graphs ⋮ On Betti numbers in the linear strand and regularity of triangular graphs ⋮ Betti numbers of edge ideals of some split graphs ⋮ On minimal free resolution of edge ideals of multipartite crown graphs ⋮ On graded Betti numbers of edge rings of deficient complete bipartite graphs

Uses Software

• Macaulay2

Cites Work

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• Projective dimension, graph domination parameters, and independence complex homology
• Characteristic-independence of Betti numbers of graph ideals
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Non-vanishingness of Betti Numbers of Edge Ideals
• Resolutions of Facet Ideals
• Splittings of monomial ideals
• Rees algebras of edge ideals
• Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs
• On Ideals Whose Radical Is a Monomial Ideal

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