Skip to content
Register Sign in Wishlist

Inequalities for Graph Eigenvalues

Part of London Mathematical Society Lecture Note Series

  • Date Published: July 2015
  • availability: Available
  • format: Paperback
  • isbn: 9781107545977

Paperback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

Please email academicmarketing@cambridge.edu.au to enquire about an inspection copy of this book

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading.

    • For the first time researchers and students can find all of the relevant results in a single volume
    • Background material provided in the introduction provides access to anyone familiar with linear algebra and the theory of graph spectra
    • Contains proofs, exercises and examples, making it suitable for use in a graduate course
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: July 2015
    • format: Paperback
    • isbn: 9781107545977
    • length: 312 pages
    • dimensions: 229 x 152 x 17 mm
    • weight: 0.42kg
    • contains: 35 b/w illus. 7 tables 90 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Introduction
    2. Spectral radius
    3. Least eigenvalue
    4. Second largest eigenvalue
    5. Other eigenvalues of the adjacency matrix
    6. Laplacian eigenvalues
    7. Signless Laplacian eigenvalues
    8. Inequalities for multiple eigenvalues
    9. Other spectra of graphs
    References
    Inequalities
    Subject index.

  • Author

    Zoran Stanić, Univerzitet u Beogradu, Serbia
    Zoran Stanić is Assistant Professor in the Faculty of Mathematics at the University of Belgrade. He has published around 40 scientific papers. His current research interests are algebraic graph theory, numerical mathematics, and computer science.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×