Certain homological invariants of bipartite kneser graphs

DOI10.1142/S0219498822502061zbMath1498.13058arXiv2105.06144OpenAlexW3179520045MaRDI QIDQ5867617

Pavinder Singh, Rohit Verma, Ajay Kumar

Publication date: 14 September 2022

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

Full work available at URL: https://arxiv.org/abs/2105.06144

zbMATH Keywords

projective dimensionCastelnuovo-Mumford regularitygraded Betti numbersedge ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• SINGULAR

Cites Work

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• Bounds on the regularity and projective dimension of ideals associated to graphs
• Results on the regularity of square-free monomial ideals
• Matchings, coverings, and Castelnuovo-Mumford regularity
• Regularity of powers of forests and cycles
• Regularity of powers of bipartite graphs
• Projective dimension, graph domination parameters, and independence complex homology
• Upper bounds for the regularity of powers of edge ideals of graphs
• Linear polynomials for the regularity of powers of edge ideals of very well-covered graphs
• The regularity of powers of edge ideals
• Characteristic-independence of Betti numbers of graph ideals
• Powers of edge ideals of regularity three bipartite graphs
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• A Course in Enumeration
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Betti numbers of edge ideals of some split graphs
• Monomial Algebras
• On minimal free resolution of edge ideals of multipartite crown graphs
• Graded Betti numbers of crown edge ideals
• Bipartite Kneser graphs are Hamiltonian

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