Geodesic
Limit points for normalized Laplacian eigenvalues
The electronic journal of linear algebra, Tome 15 (2006), pp. 337-344.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Limit points for the positive eigenvalues of the normalized Laplacian matrix of a graph are considered. Specifically, it is shown that the set of limit points for the j-th smallest such eigenvalues is equal to [0, 1], while the set of limit points for the j-th largest such eigenvalues is equal to [1, 2]. Limit points for certain functions of the eigenvalues, motivated by considerations for random walks, distances between vertex sets, and isoperimetric numbers, are also considered.
Classification : 05C50, 15A18
Mots-clés : normalized Laplacian matrix, limit point, eigenvalue 
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     author = {Kirkland, Steve},
     title = {Limit points for normalized {Laplacian} eigenvalues},
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     year = {2006},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/ELA_2006__15__a0/}
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Kirkland, Steve. Limit points for normalized Laplacian eigenvalues. The electronic journal of linear algebra, Tome 15 (2006), pp. 337-344. https://geodesic-test.mathdoc.fr/item/ELA_2006__15__a0/