Geodesic
On the Laplacian spectrum of an infinite graph
Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 773-785.

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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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A. Torgasev; M. Petrović. On the Laplacian spectrum of an infinite graph. Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 773-785. http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a12/

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