Upper bound for the Laplacian graph eigenvalues (Q1780291)
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scientific article; zbMATH DE number 2174193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upper bound for the Laplacian graph eigenvalues |
scientific article; zbMATH DE number 2174193 |
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Upper bound for the Laplacian graph eigenvalues (English)
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7 June 2005
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The authors present two new upper bounds for the largest Laplacian eigenvalue of a connected graph, in terms of the largest and smallest degrees, and the numbers of vertices and edges of the graph. They also determine the extremal graphs which achieve the upper bounds.
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Laplacian matrix
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Largest eigenvalue
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upper bound
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connected graph
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extremal graphs
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