Jordan, J. (2008) Comb graphs and spectral decimation. Glasgow Mathematical Journal, 51 (1). pp. 71-81. ISSN 0017-0895
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Mrs Megan Hobbs |
Date Deposited: | 22 Mar 2010 10:37 |
Last Modified: | 16 Nov 2015 11:49 |
Published Version: | http://dx.doi.org/10.1017/S0017089508004540 |
Status: | Published |
Publisher: | Cambridge University Press |
Identification Number: | 10.1017/S0017089508004540 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:10612 |
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