Graphs arising from mixed partitions of \(PG(5,q)\) (Q2765168)
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scientific article; zbMATH DE number 1694187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graphs arising from mixed partitions of \(PG(5,q)\) |
scientific article; zbMATH DE number 1694187 |
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25 August 2002
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mixed partition
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Veronesean
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generalized Paley graph
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0.8588806
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0.8575755
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0.85757035
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0.8539706
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Graphs arising from mixed partitions of \(PG(5,q)\) (English)
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In [\textit{R. D. Baker, A. Bonisoli, A. Cossidente} and \textit{G. L. Ebert}, Discrete Math. 208-209, 23-29 (1999; Zbl 0939.51004)] it was shown that there exists a partition of \(\text{PG}(5,q)\) into two planes and \(q^3-1\) Veronese surfaces. To every such partition \(\Omega\) a graph can be associated whose vertices are the nonlinear objects in \(\Omega\), with two vertices adjacent if their set theoretic union is a cap. The authors investigate the resulting graphs for \(q=3,4,5\) and obtain thereby a new type of generalized Paley graph.
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