The spectrum for large sets of pure Mendelsohn triple systems (Q952647)
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scientific article; zbMATH DE number 5365249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spectrum for large sets of pure Mendelsohn triple systems |
scientific article; zbMATH DE number 5365249 |
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The spectrum for large sets of pure Mendelsohn triple systems (English)
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12 November 2008
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A new concept of \(t\)-partitionable Mendelsohn candelabra systems is introduced, and a number of constructions are provided. Using these it is shown that a large set of pure Mendelsohn triple systems of order \(v\) exists if and only if \(v \equiv 0,1 \pmod 3\), \(v \geq 4\), and \(v \not\in \{6,7\}\).
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large set
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Mendelsohn triple system
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pure design
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