Australasia's Biggest Online Store

New Zealand's Lowest Prices. Guaranteed

Eigenvalues, Multiplicities and Graphs
By

Rating
Product Details

Table of Contents

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. Non-trees; 12. Geometric multiplicities for general matrices over a field.

About the Author

Charles R. Johnson is Class of 1961 Professor of Mathematics at the College of William and Mary, Virginia. He is the recognized expert in the interplay between linear algebra and combinatorics, as well as many parts of matrix analysis. He is coauthor of Matrix Analysis (Cambridge, 2012), Topics in Matrix Analysis (Cambridge, 2010), both with Roger Horn, and Totally Nonnegative Matrices (2011, with Shaun Fallat). Carlos M. Saiago is Assistant Professor of Mathematics at Universidade Nova de Lisboa, Portugal, and is the author of fifteen papers on eigenvalues, multiplicities, and graphs.

Reviews

'The authors offer a unique and modern exploration into the eigenvalues associated with a graph, well beyond the classical treatments. This well-written and comprehensive monograph is ideal for newcomers to this subject and will be beneficial for experienced practitioners as well.' Shaun M. Fallat, University of Regina, Canada 'The undirected graph of a real symmetric matrix tells you the sparsity structure of the matrix. That seems too little information to constrain the eigenvalues. Nevertheless as the matrix gets sparser some constraints appear, not on the actual eigenvalues but on their (algebraic) multiplicities. When the graph is sparse enough to be a tree there is a lot to say. The authors have collected scattered results, filled in key omissions, imposed systematic notation and concepts so that a rich and subtle theory, blending trees and matrices, unfolds before the reader. I, for one, am grateful.' Beresford Parlett, University of California, Berkeley 'This book provides a comprehensive survey and fresh perspectives on a fundamental inverse problem: how does the structure of a matrix impact its spectral properties? The inclusion of recently developed techniques, results and open questions will foster future research and applications.' Bryan Shader, University of Wyoming.

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 5% commission by selling Eigenvalues, Multiplicities and Graphs (Cambridge Tracts in Mathematics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top