Geodesic
Largest eigenvalues of the discrete p-Laplacian of trees with degree sequences
The electronic journal of linear algebra, Tome 18 (2009), pp. 202-210.

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

Summary: Trees that have greatest maximum p-Laplacian eigenvalue among all trees with a given degree sequence are characterized. It is shown that such extremal trees can be obtained by breadth-first search where the vertex degrees are non-increasing. These trees are uniquely determined up to isomorphism. Moreover, their structure does not depend on p.
Classification : 05C35, 05C75, 05C05, 05C50
Keywords: discrete p-Laplacian, largest eigenvalue, eigenvector, tree, degree sequence, majorization 
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     author = {Biyikoglu, Tuerker and Hellmuth, Marc and Leydold, Josef},
     title = {Largest eigenvalues of the discrete {p-Laplacian} of trees with degree sequences},
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Biyikoglu, Tuerker; Hellmuth, Marc; Leydold, Josef. Largest eigenvalues of the discrete p-Laplacian of trees with degree sequences. The electronic journal of linear algebra, Tome 18 (2009), pp. 202-210. http://geodesic.mathdoc.fr/item/ELA_2009__18__a41/