How neighborly can a centrally symmetric polytope be?

Details How neighborly can a centrally symmetric polytope be? How neighborly can a centrally symmetric polytope be?

2005-07-14

arxiv.org/abs/math/0507280v1

Mathematics

Combinatorics

7 pages

Scientific paper

We show that there exist k-neighborly centrally symmetric d-dimensional
polytopes with 2(n+d) vertices, where k(d,n)=Theta(d/(1+log ((d+n)/d))). We
also show that this bound is tight.

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