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

• Main Authors: Biyikoğu, Türker (Author), Leydold, Josef (Author), Stadler, Peter F. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Mathematics, 1915
• Subjects: Mathematics.; Algebra.; Matrix theory.; Combinatorics.; Linear and Multilinear Algebras, Matrix Theory.

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 Schröding...

Table of Contents:

• Graph Laplacians
• Eigenfunctions and Nodal Domains
• Nodal Domain Theorems for Special Graph Classes
• Computational Experiments
• Faber-Krahn Type Inequalities.