Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes

DOI10.1090/S0273-0979-1980-14712-6zbMath0431.52009OpenAlexW2063531543WikidataQ29038470 ScholiaQ29038470MaRDI QIDQ3868395

Billera, Louis J., Carl W. Lee

Publication date: 1980

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1980-14712-6

zbMATH Keywords

cyclic polytopesimplicial polytopef-vector0-sequenceorder ideal of monomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Linear programming (90C05) Combinatorial identities, bijective combinatorics (05A19) Polytopes and polyhedra (52Bxx)

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Cites Work

• Polytope pairs and their relationship to linear programming
• Hilbert functions of graded algebras
• The numbers of faces of simplicial polytopes
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• A generalized lower‐bound conjecture for simplicial polytopes
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