Author:
Bőrőczky Károly,Henk Martin
Abstract
AbstractIn 1975, L. Fejes Toth conjectured that in Ed, d ≥ 5, the sausage arrangement is denser than any other packing of n unit balls. This has been known if the convex hull Cn of the centers has low dimension. In this paper, we settle the case when the inner m-radius of Cn is at least O(ln d/m). In addition, we consider the extremal properties of finite ballpackings with respect to various intrinsic volumes.
Publisher
Canadian Mathematical Society
Cited by
4 articles.
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