A new basis of polytopes

DOI10.1016/0097-3165(88)90051-9zbMath0691.05006OpenAlexW1971731613MaRDI QIDQ582295

Gil Kalai

Publication date: 1988

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(88)90051-9

zbMATH Keywords

linear inequalitiesFibonacci numberface numbersflag numberflag numbersincidence algebra of face lattices of polytopesreal affine space spanned by flag vectors of d-polytopes

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumerative combinatorics (05A99)

Related Items

On low-dimensional faces that high-dimensional polytopes must have, A lattice path interpretation of the diamond product, The c--2d-index of oriented matroids, Nonpolytopal nonsimplicial lattice spheres with nonnegative toric \(g\)-vector, Moment maps, strict linear precision, and maximum likelihood degree one, Peak quasisymmetric functions and Eulerian enumeration, Complexity yardsticks for \(f\)-vectors of polytopes and spheres, Non-negative cd-coefficients of Gorenstein* posets., Euler flag enumeration of Whitney stratified spaces, A new index for polytopes, Signs in the 𝑐𝑑-index of Eulerian partially ordered sets, Linear inequalities for flags in graded partially ordered sets, Weighted derivations and the cd-index, Noncommutative enumeration in graded posets, Lifting inequalities for polytopes, Affine and toric hyperplane arrangements, Coproducts and the cd-index, The 𝑐𝑑-index: A survey, Flag vectors of Eulerian partially ordered sets

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