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

by Peter F. Stadler, Josef Leydold, Turker Biyikoglu, et al.

Book Overview

Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schr?dinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) "Geometric" properties of (cost) functions defined on the vertex...

• Format: Paperback
• Language: English
• ISBN: 3540735097
• ISBN13: 9783540735090
• Release Date: July 2007
• Publisher: Springer
• Length: 120 Pages
• Weight: 0.45 lbs.
• Dimensions: 0.3" x 6.2" x 9.2"