On generalizations of the Petersen graph and the Coxeter graph (Q895061)
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scientific article; zbMATH DE number 6513828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On generalizations of the Petersen graph and the Coxeter graph |
scientific article; zbMATH DE number 6513828 |
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On generalizations of the Petersen graph and the Coxeter graph (English)
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26 November 2015
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Summary: In this note we consider two related infinite families of graphs, which generalize the Petersen and the Coxeter graph. The main result proves that these graphs are cores. It is determined which of these graphs are vertex/edge/arc-transitive or distance-regular. Girths and odd girths are computed. A problem on hamiltonicity is posed.
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core
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Petersen graph
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Coxeter graph
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Hermitian matrix
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symmetric matrix
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