Eigenvalues Multiplicities and Graphs Cambridge Tracts in Mathematics 1st Edition by Charles R Johnson, Carlos M Saiago ISBN 9781107095458 110709545X

Eigenvalues Multiplicities and Graphs Cambridge Tracts in Mathematics  1st Edition by Charles R. Johnson, Carlos M. Saiago- Ebook PDF Instant Download/Delivery: 9781107095458, 110709545X

Full download Eigenvalues Multiplicities and Graphs Cambridge Tracts in Mathematics  1st Edition after payment

Product details:

ISBN 10:  110709545X

ISBN 13: 9781107095458

Author: Charles R. Johnson, Carlos M. Saiago

 The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.

Table of contents: 

0 – Background
1 – Introduction
2 – Parter-Wiener, etc. Theory
3 – Maximum Multiplicity for Trees, I
4 – Multiple Eigenvalues and Structure
5 – Maximum Multiplicity, II
6 – The Minimum Number of Distinct Eigenvalues
7 – Construction Techniques
8 – Multiplicity Lists for Generalized Stars
9 – Double Generalized Stars
10 – Linear Trees
11 – Nontrees
12 – Geometric Multiplicities for General Matrices over a Field
13 – Appendix A – Multiplicity Lists for Trees on Fewer Than 12 Vertices
14 – Appendix B – Seeds for Branch Duplication

People also search for:

 eigenvalues multiplicity
    
eigenvalues of graphs
    
eigenvectors of cycle graph
    
eigenvalues of complete graph
    
eigenvalues multiplicities and graphs

Tags: Charles R Johnson, Carlos M Saiago, Eigenvalues, Multiplicities, Graphs, Cambridge Tracts, Mathematics