Gaps in the numbers of vertices of cubical polytopes,I |
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| Authors: | G. Blind R. Blind |
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| Affiliation: | 1. Mathematisches Institut B, Universit?t Stuttgart, Pfaffenwaldring 57, D-70550, Stuttgart (Vaihingen), Germany
2. Waldburgstrasse 88, D-70563, Stuttgart (vaihingen), Germany
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| Abstract: | A cubical polytope is a convex polytope of which very facet is a combinatorial cube. We ask for the numbers which occur as vertex numbers ofd-dimensional cubical polytopes, and we show, as a first step, that every cubicald-polytope for evend≥4 has an even number of vertices. |
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