On the complete digraphs which are simply disconnected (Q1182645)
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scientific article; zbMATH DE number 31633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complete digraphs which are simply disconnected |
scientific article; zbMATH DE number 31633 |
Statements
On the complete digraphs which are simply disconnected (English)
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28 June 1992
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Homotopic methods are employed for the characterization of the complete digraphs which are the composition of non-trivial highly regular tournaments. It is proved that a complete digraph \(D\) is simply disconnected if and only if its simple quotient is a highly regular tournament. A complete digraph \(D_ n\) is simply disconnected if and only if (a) there exists in \(D_ n\) a non-coned 3-cycle; (b) every symmetric pair and every 3-cycle in \(D_ n\) is shrinkable in \(D_ n\).
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quotient digraphs
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complete digraphs
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simply disconnected digraphs
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highly regular tournaments
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