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On the Laplacian spectrum of an infinite graph

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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.

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Authors and Affiliations

  1. Mathematical Faculty, Beograd, Serbia and Montenegro

    A. Torgašev

  2. Faculty of Science, Kragujevac, Serbia and Montenegro

    M. Petrović

Authors
  1. A. Torgašev
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  2. M. Petrović
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__________

Translated from Matematicheskie Zametki, vol. 80, no. 5, 2006, pp. 773–785.

Original Russian Text Copyright © 2006 by A. Torgašev, M. Petrović.

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Torgašev, A., Petrović, M. On the Laplacian spectrum of an infinite graph. Math Notes 80, 729–739 (2006). https://doi.org/10.1007/s11006-006-0194-4

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  • DOI: https://doi.org/10.1007/s11006-006-0194-4

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