Bounding the diameter of distance. Regular graphs (Q1110534)
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scientific article; zbMATH DE number 4073015
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounding the diameter of distance. Regular graphs |
scientific article; zbMATH DE number 4073015 |
Statements
Bounding the diameter of distance. Regular graphs (English)
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1988
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Let G be a connected distance regular graph with valence \(k>2\) and diameter d. Suppose further that G is not a complete multipartite graph. let \(\theta\) be an eigenvalue of G with \(\theta \neq Ik,\) and \(m>1\). Then there are only finitely many connected, co-connected distance regular graphs with an eigenvalue of multiplicity m.
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connected graphs
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co-connected graphs
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distance regular graph
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eigenvalue
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