E-Book, Englisch, Band 1915, 120 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Biyikoglu / Leydold / Stadler Laplacian Eigenvectors of Graphs
2007
ISBN: 978-3-540-73510-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Perron-Frobenius and Faber-Krahn Type Theorems
E-Book, Englisch, Band 1915, 120 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-73510-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Graph Laplacians.- Eigenfunctions and Nodal Domains.- Nodal Domain Theorems for Special Graph Classes.- Computational Experiments.- Faber-Krahn Type Inequalities.
