Betti numbers of some circulant graphs

DOI10.21136/CMJ.2019.0606-16WikidataQ127530668 ScholiaQ127530668MaRDI QIDQ5227126

Amir Mousivand, Mohsen Abdi Makvand

Publication date: 5 August 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

projective dimensionCastelnuovo-Mumford regularityBetti numbercirculant graph

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (1)

Graded Betti numbers of some families of circulant graphs

Uses Software

• CoCoA
• Macaulay2

Cites Work

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• On CIS circulants
• Well-covered circulant graphs
• Splittable ideals and the resolutions of monomial ideals
• Independence polynomials of circulants with an application to music
• Characteristic-independence of Betti numbers of graph ideals
• Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
• Resolutions of Facet Ideals
• On the Linear Strand of an Edge Ideal
• Shellability, vertex decomposability, and lexicographical products of graphs
• Algebraic Properties of Product of Graphs
• Cohen–Macaulay Circulant Graphs
• Independence Complexes of Well-Covered Circulant Graphs

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