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Matematicheskie Zametki, 2014, Volume 96, Issue 6, Pages 885–895
DOI: https://doi.org/10.4213/mzm10268 (Mi mzm10268) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Estimate of the First Eigenvalue of the Laplacian on a Graph

A. T. Diaba, P. A. Kuleshovb, O. M. Penkinb

a Ain Shams University
b Voronezh State University
Full-text PDF (495 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm10268
Abstract: The eigenvalue problem for the Laplacian with Dirichlet boundary conditions on a graph is considered. The main result is an estimate of the first (minimal) eigenvalue. The proof is based on the Schwartz symmetrization of a function on a graph and on its properties.
Keywords: eigenvalue problem, Schwartz symmetrization, Laplacian on a graph.
Received: 26.02.2013
Revised: 18.05.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 6, Pages 948–956
DOI: https://doi.org/10.1134/S0001434614110327
Bibliographic databases:
Document Type: Article
UDC: 517.923
Language: Russian
Citation: A. T. Diab, P. A. Kuleshov, O. M. Penkin, “Estimate of the First Eigenvalue of the Laplacian on a Graph”, Mat. Zametki, 96:6 (2014), 885–895; Math. Notes, 96:6 (2014), 948–956
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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