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Eigenvalues and extremal degrees in graphs

Vladimir Nikiforov
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Abstract

We give inequalities relating the eigenvalues of the adjacency matrix and the Laplacian of a graph, and its minimum and maximum degrees. The results are applied to derive new conditions for quasi-randomness of graphs.

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Vladimir Nikiforov. 2006-05-02. Eigenvalues and extremal degrees in graphs. https://arxiv.org/abs/math/0605071

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