Geodesic
A note on the largest eigenvalue of non-regular graphs
The electronic journal of linear algebra, Tome 17 (2008), pp. 54-61.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The spectral radius of connected non-regular graphs is considered. Let $\lambda 1$ be the largest eigenvalue of the adjacency matrix of a graph G on n vertices with maximum degree $\Delta $.
Classification : 05C50, 15A48
Keywords: spectral radius, non-regular graph, $\lambda 1$ -extremal graph, maximum degree 
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Liu, Bolian; Li, Gang. A note on the largest eigenvalue of non-regular graphs. The electronic journal of linear algebra, Tome 17 (2008), pp. 54-61. http://geodesic.mathdoc.fr/item/ELA_2008__17__a39/