Eigenvalues, Multiplicities and Graphs
eBook - PDF

Eigenvalues, Multiplicities and Graphs

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Eigenvalues, Multiplicities and Graphs

About this book

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Eigenvalues, Multiplicities and Graphs by Charles R. Johnson,Carlos M. Saiago in PDF and/or ePUB format, as well as other popular books in Matemáticas & Matemáticas discretas. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Dedication
  7. Contents
  8. Preface
  9. List of Terms and Symbols
  10. 0 Background
  11. 1 Introduction
  12. 2 Parter-Wiener, etc. Theory
  13. 3 Maximum Multiplicity for Trees, I
  14. 4 Multiple Eigenvalues and Structure
  15. 5 Maximum Multiplicity, II
  16. 6 The Minimum Number of Distinct Eigenvalues
  17. 7 Construction Techniques
  18. 8 Multiplicity Lists for Generalized Stars
  19. 9 Double Generalized Stars
  20. 10 Linear Trees
  21. 11 Nontrees
  22. 12 Geometric Multiplicities for General Matrices over a Field
  23. Appendix A: Multiplicity Lists for Trees on Fewer Than 12 Vertices
  24. Appendix B: Seeds for Branch Duplication
  25. Bibliography
  26. Index