On minimal free resolution of edge ideals of multipartite crown graphs

DOI10.1080/00927872.2019.1684505zbMath1441.13035OpenAlexW2985083822MaRDI QIDQ5220636

Pavinder Singh, Shahnawaz Ahmad Rather

Publication date: 27 March 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1684505

zbMATH Keywords

regularityprojective dimensiongraded Betti numbersedge idealsmultipartite crown 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 (5)

On the linear strand of edge ideals of some zero-divisor graphs ⋮ Graded Betti numbers of some families of circulant graphs ⋮ Algebraic properties of edge ideals and cover ideals of unbalanced crown graphs ⋮ On graded Betti numbers of edge rings of deficient complete bipartite graphs ⋮ Certain homological invariants of bipartite kneser graphs

Cites Work

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• Results on the regularity of square-free monomial ideals
• Progress in commutative algebra 1. Combinatorics and homology
• The minimal non-Cohen-Macaulay monomial ideals
• d-collapsing and nerves of families of convex sets
• On Betti numbers of edge ideals of crown graphs
• Regularity 3 in edge ideals associated to bipartite graphs
• Rees algebras of edge ideals
• Graded Betti numbers of crown edge ideals

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