ISSN:
1436-5081
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We show that ifP⊂ $$\mathbb{E}^d $$ , |P|=d+k,d⩾k⩾1 andO ∈ int convP, then there exists a simplexS of dimension ⩾ $$\left[ {\frac{d}{k}} \right]$$ with vertices inP, satisfyingO ∈ rel intS, the bound being sharp. We give an upper bound for the minimal number of vertices of facets of a (j-1)-neighbourly convex polytope in $$\mathbb{E}^d $$ withv vertices.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01294265
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