On rainbow arithmetic progressions

被引：0

作者：

Axenovich, M ^{[1
]}

Fon-Der-Flaass, D

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[3] Russian Acad Sci, Inst Math, Novosibirsk 630090, Russia

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2004年 / 11卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider natural numbers {1,...,n} colored in three colors. We prove that if each color appears on at least ( n + 4)/6 numbers then there is a three-term arithmetic progression whose elements are colored in distinct colors. This variation on the theme of Van der Waerden's theorem proves the conjecture of Jungic et al.

引用

页数：7

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