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Matematicheskie Zametki, 2006, Volume 80, Issue 5, Pages 773–785
DOI: https://doi.org/10.4213/mzm3087 (Mi mzm3087) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Laplacian spectrum of an infinite graph

A. Torgaseva, M. Petrovićb

a University of Belgrade, Faculty of Mathematics
b University of Kragujevac, Faculty of Natural Sciences and Mathematics
Full-text PDF (448 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3087
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.
Received: 26.06.2004
English version:
Mathematical Notes, 2006, Volume 80, Issue 5, Pages 729–739
DOI: https://doi.org/10.1007/s11006-006-0194-4
Bibliographic databases:
UDC: 519.17
Language: Russian
Citation: A. Torgasev, M. Petrović, “On the Laplacian spectrum of an infinite graph”, Mat. Zametki, 80:5 (2006), 773–785; Math. Notes, 80:5 (2006), 729–739
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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