The Frobenius complex.

DOI10.1007/s00026-012-0127-8zbMath1302.06003OpenAlexW2006409004MaRDI QIDQ1928588

Richard Ehrenborg, Eric Clark

Publication date: 3 January 2013

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-012-0127-8

zbMATH Keywords

order complexesFrobenius problemFrobenius numbersMorse matchinghomotopy typescylindrical posetsFrobenius complexesFrobenius posetsPatchwork Theorem

Mathematics Subject Classification ID

Commutative semigroups (20M14) Combinatorics of partially ordered sets (06A07) Classification of homotopy type (55P15) Algebraic combinatorics (05E99) The Frobenius problem (11D07)

Related Items (6)

Homotopy types of Frobenius complexes ⋮ Order complex of ideals in a commutative ring with identity ⋮ The cubical matching complex ⋮ The Frobenius coin problem -- a cylindrical approach ⋮ Filters in the partition lattice ⋮ Filters in the partition lattice

Cites Work

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• Discrete Morse theory and Hopf bundles
• Planar lattices are lexicographically shellable
• Shellability of interval orders
• How to shell a monoid
• Morse theory for cell complexes
• A user's guide to discrete Morse theory
• Decompositions of partially ordered sets
• Segre and Rees products of posets, with ring-theoretic applications
• Complexes of directed trees
• The topology of the independence complex
• Note on Linear Forms
• Computing the Continuous Discretely
• Betti numbers of monoid algebras. Applications to 2-dimensional torus imbeddings.
• Combinatorial algebraic topology

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