A lower bound for the translative kissing numbers of simplices

被引：4

作者：

Talata, I

机构：

[1] Auburn Univ, Dept Math, Auburn, AL 36849 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

COMBINATORICA | 2000年 / 20卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s004930070026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The translative kissing number 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 H(S-d) greater than or equal to 1.13488((1-o(1))d) holds for any d-dimensional simplex S-d (d greater than or equal to 1). We also prove similar inequalities for some, more general classes of convex bodies.

引用

页码：281 / 293

页数：13

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