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This article is cited in 4 scientific papers (total in 4 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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm10268https://doi.org/10.4213/mzm10268 https://www.mathnet.ru/eng/mzm/v96/i6/p885
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Abstract page: | 407 | Full-text PDF : | 202 | References: | 57 | First page: | 50 |
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