|Authors:||Žunić, Joviša||Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Cutting corners with spheres in d-dimensions||Journal:||Advances in Applied Mathematics||Volume:||32||Issue:||3||First page:||609||Last page:||614||Issue Date:||1-Jan-2004||Rank:||M22||ISSN:||0196-8858||DOI:||10.1016/S0196-8858(03)00094-0||Abstract:||
A sphere corner cut A ⊂ ℕ0d is a set of points with nonnegative integer coordinates which includes the origin and which can be separated from ℕ0d \ A by a d-dimensional sphere. We show that in a given d-dimensional space there are O(nd+1 (log n)d-1) sphere corner cuts consisting of n points.
|Keywords:||Corner cuts | Integer grid | Partitions||Publisher:||Elsevier|
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