Incongruent restricted disjoint covering systems |
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| Authors: | Gerry Myerson |
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| Affiliation: | a Department of Mathematics, Macquarie University, Sydney, NSW, Australia
b Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA, Australia |
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| 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. |
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| Keywords: | Covering systems Langford sequences |
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