Geodesic
Spectra of weighted rooted graphs having prescribed subgraphs at some levels
The electronic journal of linear algebra, Tome 22 (2011), pp. 653-671.

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

Summary: Let B be a weighted generalized Bethe tree of k levels (k > 1) in which n j is the number of vertices at the level k - j + 1 ($1 \leq j \leq k$). Let $\Delta \subseteq {1, 2, . . . , k - 1}$ and F = G j : j $\in \Delta $, where G j is a prescribed weighted graph on each set of children of B at the level k - j+1. In this paper, the eigenvalues of a block symmetric tridiagonal matrix of order n
Classification : 05C50, 15A18
Keywords: weighted graph, Laplacian matrix, signless Laplacian matrix, adjacency matrix, generalized Bethe tree 
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     author = {Rojo, Oscar and Robbiano, Maria and Cardoso, Domingos M. and Martins, Enide A.},
     title = {Spectra of weighted rooted graphs having prescribed subgraphs at some levels},
     journal = {The electronic journal of linear algebra},
     pages = {653--671},
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     year = {2011},
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Rojo, Oscar; Robbiano, Maria; Cardoso, Domingos M.; Martins, Enide A. Spectra of weighted rooted graphs having prescribed subgraphs at some levels. The electronic journal of linear algebra, Tome 22 (2011), pp. 653-671. http://geodesic.mathdoc.fr/item/ELA_2011__22__a34/