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Spectra of generalized Bethe trees attached to a path
- Source :
-
Linear Algebra & its Applications . Jan2009, Vol. 430 Issue 1, p483-503. 21p. - Publication Year :
- 2009
-
Abstract
- Abstract: A generalized Bethe tree is a rooted tree in which vertices at the same distance from the root have the same degree. Let be a path of m vertices. Let be a set of generalized Bethe trees. Let be the tree obtained from and the trees by identifying the root vertex of with the vertex of . We give a complete characterization of the eigenvalues of the Laplacian and adjacency matrices of . In particular, we characterize their spectral radii and the algebraic conectivity. Moreover, we derive results concerning their multiplicities. Finally, we apply the results to the case . [Copyright &y& Elsevier]
- Subjects :
- *VERTEX operator algebras
*EIGENVALUES
*MATRICES (Mathematics)
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 430
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 34982156
- Full Text :
- https://doi.org/10.1016/j.laa.2008.08.009