This article is cited in 2 papers

On the Laplacian spectrum of an infinite graph

A. Torgasev^a, M. Petrović<sup>b

a</sup> University of Belgrade, Faculty of Mathematics
^b University of Kragujevac, Faculty of Natural Sciences and Mathematics

Abstract: 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.

UDC: 519.17

Received: 26.06.2004

DOI: 10.4213/mzm3087

 English version: Mathematical Notes, 2006, 80:5, 729–739

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