Skip to content
Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist
Algebraic Graph Theory

Algebraic Graph Theory

2nd Edition

$69.99 (P)

Part of Cambridge Mathematical Library

  • Author: Norman Biggs, London School of Economics and Political Science
  • Date Published: February 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521458979

$ 69.99 (P)
Paperback

Add to cart Add to wishlist

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject that has strong links with the "interaction models" studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. The structure of the volume is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of "Additional Results" are included at the end of each chapter, thereby covering most of the major advances in the past twenty years. This new and enlarged edition will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists.

    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

    • Edition: 2nd Edition
    • Date Published: February 1994
    • format: Paperback
    • isbn: 9780521458979
    • length: 216 pages
    • dimensions: 225 x 158 x 14 mm
    • weight: 0.32kg
    • contains: 18 b/w illus.
    • availability: Available
  • Table of Contents

    1. Introduction to algebraic graph theory
    Part I. Linear Algebra in Graphic Thoery:
    2. The spectrum of a graph
    3. Regular graphs and line graphs
    4. Cycles and cuts
    5. Spanning trees and associated structures
    6. The tree-number
    7. Determinant expansions
    8. Vertex-partitions and the spectrum
    Part II. Colouring Problems:
    9. The chromatic polynomial
    10. Subgraph expansions
    11. The multiplicative expansion
    12. The induced subgraph expansion
    13. The Tutte polynomial
    14. Chromatic polynomials and spanning trees
    Part III. Symmetry and Regularity:
    15. Automorphisms of graphs
    16. Vertex-transitive graphs
    17. Symmetric graphs
    18. Symmetric graphs of degree three
    19. The covering graph construction
    20. Distance-transitive graphs
    21. Feasibility of intersection arrays
    22. Imprimitivity
    23. Minimal regular graphs with given girth
    References
    Index.

  • Author

    Norman Biggs, London School of Economics and Political 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

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.
×