Higher dimensional Moore bounds

DOI10.1007/s00373-010-0979-9zbMath1233.05223arXiv0906.0763OpenAlexW2135931391MaRDI QIDQ659717

Michael Goff

Publication date: 24 January 2012

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0763

zbMATH Keywords

Moore boundSimplicial complexGirthFace numbersMultiplicity conjecture

Mathematics Subject Classification ID

Distance in graphs (05C12) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Combinatorial aspects of simplicial complexes (05E45)

Related Items (2)

On regular hypergraphs of high girth ⋮ Simplicial girth and pure resolutions

Uses Software

• BoijSoederberg

Cites Work

• Unnamed Item
• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\).
• Face vectors of flag complexes
• Ramanujan graphs
• Edges in graphs with large girth
• The Moore bound for irregular graphs
• Topological persistence and simplification
• Combinatorics and commutative algebra.
• Betti numbers of graded modules and cohomology of vector bundles
• Bounds for multiplicities
• A Moore bound for simplicial complexes
• Face Ring Multiplicity via CM-Connectivity Sequences

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