Incongruent restricted disjoint covering systems

被引：0

作者：

Myerson, Gerry ^{[3
]}

Poon, Jacky ^{[3
]}

Simpson, Jamie ^{[1
,2
]}

机构：

[1] Curtin Univ Technol, Dept Math, Perth, WA, Australia

[2] Curtin Univ Technol, Dept Stat, Perth, WA, Australia

[3] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia

来源：

DISCRETE MATHEMATICS | 2009年 / 309卷 / 13期

关键词：

Covering systems; Langford sequences; CONGRUENCES;

D O I：

10.1016/j.disc.2009.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define an incongruent restricted disjoint covering system on [1, n] as a set of congruence classes such that each integer in the interval [1, n] belongs to exactly one class, and each class contains at least two members of the interval. In this paper we report some computational and structural results and present some open problems concerning such systems. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.

引用

页码：4428 / 4434

页数：7

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