On Convex Polytopes in the d-dimensional Space Containing and Avoiding Zero

Details On Convex Polytopes in the d-dimensional Space Containing and Avoiding Zero On Convex Polytopes in the d-dimensional Space Containing and Avoiding Zero

2012-01-21

arxiv.org/abs/1201.4512v1

Mathematics

Combinatorics

8 pages

Scientific paper

The goal of this paper is to establish certain inequalities between the
numbers of convex polytopes in the d-dimensional space "containing" and
"avoiding" zero provided that their vertex sets are subsets of a given finite
set of points in the space.

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