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Title: Copies of a rooted weighted graph attached to an arbitrary weighted graph and applications
Author: Cardoso, Domingos M.
Martins, Enide A.
Robbiano, María
Rojo, Oscar
Keywords: Weighted graph
Generalized Bethe tree
Laplacian matrix
Signless Laplacian matrix
Adjacency matrix
Randic matrix
Issue Date: Oct-2013
Publisher: International Linear Algebra Society
Abstract: The spectrum of the Laplacian, signless Laplacian and adjacency matrices of the family of the weighted graphs R{H}, obtained from a connected weighted graph R on r vertices and r copies of a modified Bethe tree H by identifying the root of the i-th copy of H with the i-th vertex of R, is determined.
Peer review: yes
ISSN: 1081-3810
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Appears in Collections:DMat - Artigos

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