Skip to content
Register Sign in Wishlist

Eigenspaces of Graphs

£49.99

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: March 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521057189

£ 49.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Current research on the spectral theory of finite graphs may be seen as part of a wider effort to forge closer links between algebra and combinatorics (in particular between linear algebra and graph theory).This book describes how this topic can be strengthened by exploiting properties of the eigenspaces of adjacency matrices associated with a graph. The extension of spectral techniques proceeds at three levels: using eigenvectors associated with an arbitrary labelling of graph vertices, using geometrical invariants of eigenspaces such as graph angles and main angles, and introducing certain kinds of canonical eigenvectors by means of star partitions and star bases. One objective is to describe graphs by algebraic means as far as possible, and the book discusses the Ulam reconstruction conjecture and the graph isomorphism problem in this context. Further problems of graph reconstruction and identification are used to illustrate the importance of graph angles and star partitions in relation to graph structure. Specialists in graph theory will welcome this treatment of important new research.

    • First book to cover star partitions
    • Draws together a wide range of research
    • Authors are leading figures in graph theory
    Read more

    Reviews & endorsements

    'Specialists in graph theory and mathematical chemistry will welcome this treatment of important new research.' European Mathematical Society

    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: March 2008
    • format: Paperback
    • isbn: 9780521057189
    • length: 276 pages
    • dimensions: 234 x 156 x 15 mm
    • weight: 0.39kg
    • contains: 77 b/w illus. 4 tables
    • availability: Available
  • Table of Contents

    1. A background in graph spectra
    2. Eigenvectors of graphs
    3. Eigenvectors of techniques
    4. Graph angles
    5. Angle techniques
    6. Graph perturbations
    7. Star partitions
    8. Canonical star bases
    9. Miscellaneous results.

  • Authors

    Dragos Cvetkovic, Univerzitet u Beogradu, Yugoslavia

    Peter Rowlinson, University of Stirling

    Slobodan Simic, Univerzitet u Beogradu, Yugoslavia

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.
×