The number of 4-cycles in 2-factorizations of \(K_{2n}\) minus a 1-factor (Q1567602)
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scientific article; zbMATH DE number 1462269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of 4-cycles in 2-factorizations of \(K_{2n}\) minus a 1-factor |
scientific article; zbMATH DE number 1462269 |
Statements
The number of 4-cycles in 2-factorizations of \(K_{2n}\) minus a 1-factor (English)
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13 February 2001
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For each positive integer \(n\), the authors determine all \(m\) so that there exists a 2-factorization of \(K_{2n} - F\), where \(F\) is a 1-factor, with exactly \(m\) 4-cycles.
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complete graph
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4-cycle
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2-factorization
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