On Minimum Kissing Numbers of Finite Translative Packings of a Convex Body
نویسنده
چکیده
For a convex body K, let us denote by t(K) the largest number for which there exists a packing with finitely many translates of K in which every translate has at least t(K) neighbours. In this paper we determine t(K) for convex discs and 3-dimensional convex cylinders. We also examine how small the cardinalities of the extremal configurations can be in these cases. MSC 2000: 52C17, 52A10
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تاریخ انتشار 2002