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arxiv: 1201.4512 · v2 · pith:3N6ZUICLnew · submitted 2012-01-21 · 🧮 math.CO · cs.DM

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

classification 🧮 math.CO cs.DM
keywords spaceavoidingcontainingconvexd-dimensionalpolytopeszerocertain
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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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