Constructing 4-valent \(\frac 12\)-transitive graphs with a nonsolvable automorphism group (Q1306420)
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scientific article; zbMATH DE number 1347235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructing 4-valent \(\frac 12\)-transitive graphs with a nonsolvable automorphism group |
scientific article; zbMATH DE number 1347235 |
Statements
Constructing 4-valent \(\frac 12\)-transitive graphs with a nonsolvable automorphism group (English)
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21 November 1999
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A graph is said to be \({1\over 2}\)-transitive if its automorphism group acts transitively on vertices and edges but not on arcs. For each \(n\geq 11\), a \({1\over 2}\)-transitive graph of valency 4 and grith 6, with the automorphism group isomorphic to \(A_n\times \mathbb{Z}_2\), is given. \(\copyright\) Academic Press.
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Cayley graph
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action digraph
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\({1\over 2}\)-transitive
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automorphism group
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valency
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