Geodesic
The P-Laplacian spectral radius of weighted trees with a degree sequence and a weight set
The electronic journal of linear algebra, Tome 22 (2011), pp. 267-276.

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

Summary: In this paper, some properties of the discrete p-Laplacian spectral radius of weighted trees have been investigated. These results are used to characterize all extremal weighted trees with the largest p-Laplacian spectral radius among all weighted trees with a given degree sequence and a positive weight set. Moreover, a majorization theorem with two tree degree sequences is presented.
Classification : 05C50, 05C05, 05C22
Keywords: weighted tree, discrete p-Laplacian, degree sequence, spectrum 
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     author = {Zhang, Guang-Jun and Zhang, Xiao-Dong},
     title = {The {P-Laplacian} spectral radius of weighted trees with a degree sequence and a weight set},
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Zhang, Guang-Jun; Zhang, Xiao-Dong. The P-Laplacian spectral radius of weighted trees with a degree sequence and a weight set. The electronic journal of linear algebra, Tome 22 (2011), pp. 267-276. http://geodesic.mathdoc.fr/item/ELA_2011__22__a60/