A FEW APPLICATIONS OF NEGATIVE-TYPE INEQUALITIES

被引：7

作者：

DEZA, M

MAEHARA, H

机构：

[1] UNIV RYUKYUS,OKINAWA,JAPAN

[2] CNRS,F-75005 PARIS,FRANCE

来源：

GRAPHS AND COMBINATORICS | 1994年 / 10卷 / 03期

关键词：

D O I：

10.1007/BF02986674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Applying the negative-type inequalities for square Euclidean distance, we present (1) a parallelotope theorem (a generalization of the parallelogram theorem), (2) a short proof of Rankin's theorem for the maximum number of dispersed points on a sphere, and (3) a proof of impossibility of a certain geometric embedding for some graphs.

引用

页码：255 / 262

页数：8

共 8 条

[1]

Assouad P., 1982, METRIC SUBSPACES L1

[2]

Graham R. L., 1980, RAMSEY THEORY

[3]

Grunbaum B., 2003, CONVEX POLYTOPES, V2nd

[4] ALGEBRAIC DISTANCE GRAPHS AND RIGIDITY [J].

HOMMA, M ;

MAEHARA, H .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (02) :561-572

[5]

MAEHARA H, 1991, DISCRETE COMPUT GEOM, V6, P56

[6]

RANKIN RA, 1955, P GLASGOW MATH ASSOC, V2, P145

[7] Remarks to Maurice Frechet's article "on the axiomatic definition of a class of space vectorially distanced and applicable to the Hilbert space [J].

Schoenberg, IJ .

ANNALS OF MATHEMATICS, 1935, 36 :724-732

[8]

Seidel J. J., 1969, INDAG MATH, V72, P64

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