Spectra of infinite graphs with tails
Combinatorics
2015-03-18 v1 Spectral Theory
Abstract
We compute explicitly (modulo solutions of certain algebraic equations) the spectra of infinite graphs obtained by attaching one or several infinite paths to some vertices of certain finite graphs. The main result concerns a canonical form of the adjacency matrix of such infinite graphs. A complete answer is given in the case when the number of attached paths to each vertex is the same.
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Cite
@article{arxiv.1503.04952,
title = {Spectra of infinite graphs with tails},
author = {Leonid Golinskii},
journal= {arXiv preprint arXiv:1503.04952},
year = {2015}
}
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29 LaTeX pages