Constructing \(\frac{1}{2}\)-arc-transitive graphs of valency 4 and vertex stabilizer \(Z_2\times Z_2\) (Q1348123)
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scientific article; zbMATH DE number 1741687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructing \(\frac{1}{2}\)-arc-transitive graphs of valency 4 and vertex stabilizer \(Z_2\times Z_2\) |
scientific article; zbMATH DE number 1741687 |
Statements
Constructing \(\frac{1}{2}\)-arc-transitive graphs of valency 4 and vertex stabilizer \(Z_2\times Z_2\) (English)
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15 May 2002
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The authors constructed an infinite family of tetravalent Cayley graphs of alternating groups which are edge-transitive but not arc-transitive. They further proved that these graphs have alternating cycles of length 4 and their automorphism groups have vertex stabilizer isomorphic to the elementary abelian group of order 4.
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group action
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Cayley graphs
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edge-transitive
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arc-transitive
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automorphism groups
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