Geodesic
COMB GRAPHS AND SPECTRAL DECIMATION
Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 71-81

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DOI

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. Geometry6 (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.
DOI : 10.1017/S0017089508004540
Mots-clés : Primary 47A10, Secondary 05C99, 28A80 
JORDAN, JONATHAN. COMB GRAPHS AND SPECTRAL DECIMATION. Glasgow mathematical journal, Tome 51 (2009) no. 1, pp. 71-81. doi: 10.1017/S0017089508004540
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004540/}
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