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Graph Laplacians

Part of the Lecture Notes in Mathematics book series (LNM, volume 1915)

In this chapter we recall the definition of (generalized) graph Laplacians and present the basic properties of their eigenfunctions. Moreover, we establish the main tools that will be used throughout the book. For a thorough overview of other properties of graph Laplacians not required for our investigations of eigenfunctions we refer the interested reader to the survey by Merris [133].

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© Springer-Verlag Berlin Heidelberg 2007

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