Jordan, J. (2008) Comb graphs and spectral decimation. Glasgow Mathematical Journal, 51 (1). pp. 71-81. ISSN 0017-0895
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Published Version: http://dx.doi.org/10.1017/S0017089508004540
Abstract
We investigate the spectral properties of matrices associated with comb graphs. We show that the adjacency matrices and adjacency matrix Laplacians of the sequences of graphs show a spectral similarity relationship in the sense of work by L. Malozemov and A. Teplyaev (Self-similarity, operators and dynamics, Math. Phys. Anal. Geometry 6 (2003), 201–218), and hence these sequences of graphs show a spectral decimation property similar to that of the Laplacians of the Sierpiński gasket graph and other fractal graphs.
| Item Type: | Article |
|---|---|
| Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) ?? Sheffield.PAS ?? |
| Depositing User: | Mrs Megan Hobbs |
| Date Deposited: | 22 Mar 2010 10:37 |
| Last Modified: | 07 Jun 2010 11:09 |
| Published Version: | http://dx.doi.org/10.1017/S0017089508004540 |
| Status: | Published |
| Publisher: | Cambridge University Press |
| Identification Number: | 10.1017/S0017089508004540 |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/10612 |
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