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:
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French |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
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43 |
Issue:
|
2 |
Year:
|
1993 |
Pages:
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205-219 |
. |
Category:
|
math |
. |
MSC:
|
05C50 |
MSC:
|
58G99 |
idZBL:
|
Zbl 0789.05063 |
idMR:
|
MR1211743 |
DOI:
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10.21136/CMJ.1993.128408 |
. |
Date available:
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2009-09-24T09:29:03Z |
Last updated:
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2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128408 |
. |
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 |
. |