4.2 Article

On the Laplacian spectrum of an infinite graph

Journal

MATHEMATICAL NOTES
Volume 80, Issue 5-6, Pages 729-739

Publisher

CONSULTANTS BUREAU/SPRINGER
DOI: 10.1007/s11006-006-0194-4

Keywords

graph; infinite graph; Laplacian spectrum

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In this paper, we introduce the notion of Laplacian spectrum of an infinite countable graph in a different way than in the papers by B. Mohar. We prove some basic properties of this type of spectrum. The approach used is in line with our approach to the limiting spectrum of an infinite graph. The technique of the Laplacian spectrum of finite graphs is essential in this approach.

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