Gaps in the numbers of vertices of cubical polytopes, I
暂无分享,去创建一个
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.
[1] P. Mani,et al. Shellable Decompositions of Cells and Spheres. , 1971 .
[2] G. C. Shephard,et al. Convex Polytopes and the Upper Bound Conjecture , 1971 .
[3] William Jockusch. The lower and upper bound problems for cubical polytopes , 1993, Discret. Comput. Geom..
[4] A. Brøndsted. An Introduction to Convex Polytopes , 1982 .
[5] R. Blind,et al. Convex polytopes without triangular faces , 1990 .