A Lower Bound for the Translative Kissing Numbers of Simplices |
| |
| Authors: | István Talata |
| |
| Institution: | (1) Department of Mathematics, Auburn University; 218 Parker Hall, Auburn, AL 36849-5310, USA and Department of Mathematics, The University of Michigan; East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA; E-mail: talata@math.lsa.umich.edu, US |
| |
| Abstract: | H (K) of a d-dimensional convex body K is the maximum number of mutually non-overlapping translates of K that can be arranged so that all touch K. In this paper we show that holds for any d-dimensional simplex (). We also prove similar inequalities for some, more general classes of convex bodies.
Received May 18, 1998 |
| |
| Keywords: | AMS Subject Classification (1991) Classes: 52C17 05D05 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
