Incongruent restricted disjoint covering systems

Gerry Myerson; Jacky Poon; Jamie Simpson

doi:10.1016/j.disc.2009.02.002

Incongruent restricted disjoint covering systems

Gerry Myerson, Jacky Poon, Jamie Simpson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	4428-4434
Number of pages	7
Journal	Discrete Mathematics
Volume	309
Issue number	13
DOIs	https://doi.org/10.1016/j.disc.2009.02.002
Publication status	Published - 6 Jul 2009

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title = "Incongruent restricted disjoint covering systems",

abstract = "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",

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AB - 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

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JO - Discrete Mathematics

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Incongruent restricted disjoint covering systems

Abstract

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