Eigenvalues and extremal degrees in graphs

Details Eigenvalues and extremal degrees in graphs Eigenvalues and extremal degrees in graphs

2006-05-02

arxiv.org/abs/math/0605071v2

Mathematics

Combinatorics

Scientific paper

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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