An upper bound for the cardinality of an s-distance set in Euclidean space

被引：5

作者：

Bannai, E ^{[1
]}

Kawasaki, K ^{[1
]}

Nitamizu, Y ^{[1
]}

Sato, T ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Higashi Ku, Fukuoka 8128581, Japan

来源：

COMBINATORICA | 2003年 / 23卷 / 04期

关键词：

05E99; 05B99; 51M99; 62K99;

D O I：

10.1007/s00493-003-0032-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that if X is an s-distance set in R-m and X is on p concentric spheres then \X\ < Sigma(i=0)(2p-1) ((m+s-i-)(s=i) (1)). Moreover if X is antipodal, then \X\ less than or equal to 2Sigma(i=0)(p-1) ((m+s-)(m-1) (2i-2)).

引用

页码：535 / 557

页数：23

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