Solution of an outstanding conjecture: the non-existence of universal cycles with \(k=n-2\) (Q1850059)
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scientific article; zbMATH DE number 1839030
| Language | Label | Description | Also known as |
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| English | Solution of an outstanding conjecture: the non-existence of universal cycles with \(k=n-2\) |
scientific article; zbMATH DE number 1839030 |
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Solution of an outstanding conjecture: the non-existence of universal cycles with \(k=n-2\) (English)
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2 December 2002
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In 1992, \textit{F. Chung}, \textit{P. Diaconis} and \textit{R. Graham} [Discrete Math. 110, 43--59 (1992; Zbl 0776.05001)] generalized de Bruijn cycles into universal cycles. In 1999, B. W. Jackson conjectured that for \(n> 3\) no \((n, n-2)\) universal cycles exist. In the present paper the authors confirm this conjecture.
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Gray code
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universal cycles
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