Solution of the Cameron-Erdos problem for groups of prime order

被引：2

作者：

Sapozhenko, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

sum-free set; independent set; SUM-FREE SETS; ABELIAN-GROUPS; INDEPENDENT SETS; NUMBER; CONJECTURE; GRAPHS;

D O I：

10.1134/S0965542509080132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subset A of a group G is sum-free if a + b does not belong to A for any a, b a A. Asymptotics of the number of sum-free sets in groups of prime order are proved.

引用

页码：1435 / 1441

页数：7

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