Article contents
SPECTRUM OF THE LAPLACIAN OF AN ASYMMETRIC FRACTAL GRAPH
Published online by Cambridge University Press: 02 February 2006
Abstract
We consider a simple self-similar sequence of graphs that does not satisfy the symmetry conditions that imply the existence of a spectral decimation property for the eigenvalues of the graph Laplacians. We show that, for this particular sequence, a very similar property to spectral decimation exists, and we obtain a complete description of the spectra of the graphs in the sequence.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 1 , February 2006 , pp. 101 - 113
- Copyright
- Copyright © Edinburgh Mathematical Society 2006
- 1
- Cited by