A note on Zeilberger's abstract lace expansion

DOI10.1006/aama.2002.0775zbMath1031.05009OpenAlexW2094012864MaRDI QIDQ696863

Klaus Dohmen

Publication date: 12 September 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.2002.0775

zbMATH Keywords

lace expansionsieveconvex geometryinclusion-exclusiondual antimatroid

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Self-avoiding walk in 5 or more dimensions
• The theory of convex geometries
• Inclusion-exclusion-Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics
• Inclusion-exclusion complexes for pseudodisk collections
• The abstract lace expansion
• Abstract tubes, improved inclusion-exclusion identities and inequalities and importance sampling
• Principle of inclusion-exclusion on semilattices
• The union of balls and its dual shape

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