An \(s\)-strong tournament with \(s\geq 3\) has \(s+1\) vertices whose out-arcs are 4-pancyclic (Q858311)
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scientific article; zbMATH DE number 5082764
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An \(s\)-strong tournament with \(s\geq 3\) has \(s+1\) vertices whose out-arcs are 4-pancyclic |
scientific article; zbMATH DE number 5082764 |
Statements
An \(s\)-strong tournament with \(s\geq 3\) has \(s+1\) vertices whose out-arcs are 4-pancyclic (English)
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9 January 2007
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Let \(T\) be an \(s\)-strong tournament with \(n\) vertices where \(s\geq 3\). The authors show that \(T\) contains at least \(s+1\) vertices \(v\) such that each arc leading away from \(v\) belongs to cycles of lengths \(4,5,\dots, n\).
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cycle
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