A FLAG VECTOR OF A 3‐SPHERE THAT IS NOT THE FLAG VECTOR OF A 4‐POLYTOPE

DOI10.1112/S0025579316000267zbMath1365.52012arXiv1506.08148OpenAlexW837848123MaRDI QIDQ2970178

Günter M. Ziegler, Philip Brinkmann

Publication date: 28 March 2017

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08148

zbMATH Keywords

oriented matroidface vector and flag vector of a polyhedral complexnon-polytopal sphere

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40)

Related Items

Small $f$-vectors of 3-spheres and of 4-polytopes, Bounds for Entries of $\gamma$-Vectors of Flag Homology Spheres, The complete enumeration of 4-polytopes and 3-spheres with nine vertices

Uses Software

• SCIP

Cites Work

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