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- W2890170804 abstract "In cite{Elek} we proved that the limit of a weakly convergent sequence of finite graphs can be viewed as a graphing or a continuous field of infinite graphs. Thus one can associate a type $II_1$-von Neumann algebra to such graph sequences. We show that in this case the integrated density of states exists that is the weak limit of the spectra of the graph Laplacians of the finite graphs is the KNS-spectral measure of the graph Laplacian of the limit graphing. Using this limit technique we prove a Cheeger type inequality for finite graphs." @default.
- W2890170804 created "2018-09-27" @default.
- W2890170804 creator A5000595324 @default.
- W2890170804 date "2005-09-03" @default.
- W2890170804 modified "2023-09-27" @default.
- W2890170804 title "Limits of finite graphs, Von Neumann algebras and a Cheeger type inequality" @default.
- W2890170804 hasPublicationYear "2005" @default.
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