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Laplacian Eigenvectors of Graphs: Perron-Frobenius and Faber-Krahn Type Theorems

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Laplacian Eigenvectors of Graphs: Perron-Frobenius and Faber-Krahn Type Theorems - Biyikoglu, Türker, and Leydold, Josef, and Stadler, Peter F
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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 Schr???dinger equations on manifolds on the one hand, and their ...

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Laplacian Eigenvectors of Graphs: Perron-Frobenius and Faber-Krahn Type Theorems 2007, Springer, Berlin, Heidelberg

ISBN-13: 9783540735090

2007 edition

Trade paperback