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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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Graph Laplacians. In: Laplacian Eigenvectors of Graphs. Lecture Notes in Mathematics, vol 1915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73510-6_2
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DOI: https://doi.org/10.1007/978-3-540-73510-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73509-0
Online ISBN: 978-3-540-73510-6
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