Simplicial girth and pure resolutions

DOI10.1007/s00373-011-1113-3zbMath1263.05125OpenAlexW2077504446MaRDI QIDQ1950400

Michael Goff

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1007/s00373-011-1113-3

zbMATH Keywords

Stanley-Reisner ringsimplicial complexgirthextremal combinatoricsminimal free resolutionsimplicial girth

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Paths and cycles (05C38) Combinatorial aspects of simplicial complexes (05E45)

Related Items (1)

Bounds on the regularity and projective dimension of ideals associated to graphs

Uses Software

• BoijSoederberg

Cites Work

• Higher dimensional Moore bounds
• Enriched homology and cohomology modules of simplicial complexes
• Remarks on missing faces and generalized lower bounds on face numbers
• Cohen-Macaulay quotients of polynomial rings
• Cohen-Macaulay partially ordered sets with pure resolutions
• The Moore bound for irregular graphs
• Combinatorics and commutative algebra.
• Betti numbers of graded modules and cohomology of vector bundles
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions
• Stanley-reisner rings with pure resolutions
• A Moore bound for simplicial complexes
• Face Ring Multiplicity via CM-Connectivity Sequences

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