Geodesic
Radii and the Sausage Conjecture
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 156-166

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DOI

In 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.
DOI : 10.4153/CMB-1995-022-5
Mots-clés : 52C17, 52A40 
Jr., Károly Bőrőczky; Henk, Martin. Radii and the Sausage Conjecture. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 156-166. doi: 10.4153/CMB-1995-022-5
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     title = {Radii and the {Sausage} {Conjecture}},
     journal = {Canadian mathematical bulletin},
     pages = {156--166},
     year = {1995},
     volume = {38},
     number = {2},
     doi = {10.4153/CMB-1995-022-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-022-5/}
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