Simple graphs containing induced subgraphs whose automorphism groups are isomorphic to subgroups of a given finite group (Q1304824)
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scientific article; zbMATH DE number 1340378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple graphs containing induced subgraphs whose automorphism groups are isomorphic to subgroups of a given finite group |
scientific article; zbMATH DE number 1340378 |
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Simple graphs containing induced subgraphs whose automorphism groups are isomorphic to subgroups of a given finite group (English)
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16 February 2000
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It is shown that, by choosing a generator for each cyclic subgroup, the Frucht construction yields a graph whose automorphism group is \(A\) and to each subgroup \(H\) of \(A\) there is an induced subgraph whose automorphism group is \(H\). The method is also modified so that the inclusion preserving association between subgroups and subgraphs is inclusion reversing.
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automorphism group
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induced subgroup
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