The non-orientable genus of some metacyclic groups (Q1193534)
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scientific article; zbMATH DE number 64829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The non-orientable genus of some metacyclic groups |
scientific article; zbMATH DE number 64829 |
Statements
The non-orientable genus of some metacyclic groups (English)
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27 September 1992
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Nonorientable voltage graph imbeddings are used to construct nonorientable octagonal imbeddings of certain 4-regular bipartite Cayley graphs for finite metacyclic groups. A subclass of examples is described for which the imbedding realizes the nonorientable genus of the group, yielding also a class of Cayley graphs \(G\) for which \(2\gamma- \tilde\gamma\) is arbitrarily large, where \(\gamma\) and \(\tilde\gamma\) are the orientable and nonorientable genus of \(G\), respectively.
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non-orientable genus
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voltage graph
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Cayley graphs
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metacyclic groups
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0.8750388026237488
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0.7871163487434387
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0.7570632696151733
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0.7569194436073303
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