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Title: Constante de Cheeger et première valeur propre non nulle du Laplacien d’un graphe de petite dimension (French)
Title: Cheeger constant and first nonzero eigenvalue of the Laplacian of a graph of small dimension (English)
Author: Boillat, J. E.
Language: French
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 43
Issue: 2
Year: 1993
Pages: 205-219
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Category: math
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MSC: 05C50
MSC: 58G99
idZBL: Zbl 0789.05063
idMR: MR1211743
DOI: 10.21136/CMJ.1993.128408
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Date available: 2009-09-24T09:29:03Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128408
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Reference: [1] B. Colbois: Sur la multiplicité de la première valeur propre non nulle du Laplacien des surfaces à courbure -1, PhD thesis.Université de Lausanne, 1987.
Reference: [2] J. Dodziuk: Difference Equations, Isoperimetric Inequalities and Transience of certain Random Walks.Transaction of the American Mathematical Society 284(2) (1984), 787–794. MR 0743744, 10.1090/S0002-9947-1984-0743744-X
Reference: [3] M. Fiedler: Bounds for Eigenvalues of Doubly Stochastic Matrices.Linear Algebra and its Applications 5 (1972), 299–310. Zbl 0264.15004, MR 0573021
Reference: [4] B. Mohar: Isoperimetric Numbers of Graphs.Journal of Combinatorial Theory, Series B 47 (1989.), 274–291. Zbl 0719.05042, MR 1026065, 10.1016/0095-8956(89)90029-4
Reference: [5] S. Wolfram: Mathematica.Addison-Wesley, Redwood City, 1988. Zbl 0671.65002
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