A Lower Bound Theorem for Centrally Symmetric Simplicial Polytopes

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چکیده

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I. Bfirfiny and L. Lovfisz [Acta Math. Acad. Sci. Hung. 40, 323-329 (1982)] showed that a d-dimensional centrally-symmetric simplicial polytope ~ has at least 2 d facets, and conjectured a lower bound for the number f~ of i-dimensional faces o f ~ in terms ofd and the number f0 = 2n of d vertices. Define integers ho . . . . . he by Z f~-1(x 1) d-' = ~ hi xd-'. A. Bj6rner conjectured (uni=O i=O ...

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ژورنال

عنوان ژورنال: Discrete & Computational Geometry

سال: 2018

ISSN: 0179-5376,1432-0444

DOI: 10.1007/s00454-018-9978-z