The maximum number of odd integral distances between points in the plane

被引：10

作者：

Piepmeyer, L ^{[1
]}

机构：

[1] TECH UNIV CAROLO WILHELMINA BRAUNSCHWEIG,DISKRETE MATH,D-38106 BRAUNSCHWEIG,GERMANY

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1996年 / 16卷 / 01期

关键词：

D O I：

10.1007/BF02711135

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Four points in the plane with pairwise odd integral distances do not exist. The maximum number of odd distances between n points in the plane is proved to be n(2)/3+r r(r-3)/6 for all n, where r=1,2,3 and n=r (mod 3). This solves a recently stated problem of Erdos.

引用

页码：113 / 115

页数：3

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