On the unitary Cayley graph of a finite ring (Q2380281)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the unitary Cayley graph of a finite ring |
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On the unitary Cayley graph of a finite ring (English)
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26 March 2010
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Summary: We study the unitary Cayley graph associated to an arbitrary finite ring, determining precisely its diameter, girth, eigenvalues, vertex and edge connectivity, and vertex and edge chromatic number. We also compute its automorphism group, settling a question of Klotz and Sander. In addition, we classify all planar graphs and perfect graphs within this class.
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automorphism group
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diameter
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girth
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eigenvalues
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vertex connectivity
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edge connectivity
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vertex chromatic number
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edge chromatic number
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