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.
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页码：113 / 115
页数：3
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