Spectrum of Johnson graphs (Q2111919)
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scientific article; zbMATH DE number 7643132
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectrum of Johnson graphs |
scientific article; zbMATH DE number 7643132 |
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Spectrum of Johnson graphs (English)
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17 January 2023
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The author of this paper obtains new bounds on the second eigenvalue of Johnson graphs and applies these bounds to obtain new results on the modularity of Johnson graphs and their random subgraphs, the Hamiltonicity of Johnson graphs, and thresholds of the appearance of the Hamilton cycles and giant components. Furthermore, the author provided general bounds on vertex connectivity and the stability of the modularity for \((n,d,\lambda)\)-graphs.
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spectrum
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Johnson graphs
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modularity
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Hamiltonicity
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