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arXiv · 1904.06678

Spectra of comb graphs with tails

Leonid Golinskii
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Abstract

Given two graphs, a backbone and a finger, a comb product is a new graph obtained by grafting a copy of the finger into each vertex of the backbone. We study the comb graphs in the case when both components are the paths of order $n$ and $k$, respectively, as well as the above comb graphs with an infinite ray attached to some of their vertices. A detailed spectral analysis is carried out in both situations.

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Leonid Golinskii. 2019-04-14. Spectra of comb graphs with tails. https://arxiv.org/abs/1904.06678

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