Spectral analysis of locally finite graphs with one infinite ray
DOI:
https://doi.org/10.15407/dopovidi2014.03.029Keywords:
finite graphs, infinite ray, spectral analysisAbstract
A complete spectral analysis of countable graphs defined as the union of a finite graph and a semibounded infinite chain is given. The spectrum of the adjacency matrix of graphs is defined, a spectral measure is constructed, the eigenvectors and the spectral expansion in eigenvectors are presented.
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