The number of elements in a generalized partition semilattice

DOI10.1016/S0012-365X(97)00187-8zbMath0956.52009OpenAlexW2082973394MaRDI QIDQ1584273

Robert Gill

Publication date: 2 November 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(97)00187-8

zbMATH Keywords

partitionspeciesexponential generating functionhyperplane arrangementintersection poset

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05)

Related Items (4)

Bijections for faces of the Shi and Catalan arrangements ⋮ Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species ⋮ Skew metrics valued in Sugihara semigroups ⋮ Supersolvable frame-matroid and graphic-lift lattices

Cites Work

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• Une théorie combinatoire des séries formelles
• A basis for the top homology of a generalized partition lattice
• Characteristic polynomials of subspace arrangements and finite fields
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Hyperplane arrangements, interval orders, and trees.

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