Vertex-primitive digraphs of prime-power order are hamiltonian (Q1322207)
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scientific article; zbMATH DE number 562613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vertex-primitive digraphs of prime-power order are hamiltonian |
scientific article; zbMATH DE number 562613 |
Statements
Vertex-primitive digraphs of prime-power order are hamiltonian (English)
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15 September 1994
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Witte showed that every connected Cayley digraph of a \(p\)-group is hamiltonian. In the present paper, it is shown that every connected vertex-primitive digraph of prime-power order is hamiltonian, where a vertex-primitive digraph is one whose automorphism group acts primitively on its vertex set.
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\(p\)-group
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Cayley digraph
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hamiltonian
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vertex-primitive digraph
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automorphism group
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0.9224427
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0.91385305
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0.9086809
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0.9025931
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0.88324714
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