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Laplacian Eigenvectors of Graphs: Perron-Frobenius and Faber-Krahn Type Theorems
Paperback
Series: Lecture Notes in Mathematics, Book 1915
ISBN13: 9783540735090
Publisher: Springer
Published: Jul 26 2007
Pages: 120
Weight: 0.45
Height: 0.31 Width: 6.23 Depth: 9.16
Language: English
This fascinating volume investigates the structure of eigenvectors and looks at the number of their sign graphs (nodal domains), Perron components, and graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology. Eigenvectors of graph Laplacians may seem a surprising topic for a book, but the authors show that there are subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs.
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