Skip to content
Register Sign in Wishlist

Circuit Double Cover of Graphs


Part of London Mathematical Society Lecture Note Series

  • Date Published: April 2012
  • availability: Available
  • format: Paperback
  • isbn: 9780521282352

£ 32.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • The famous Circuit Double Cover conjecture (and its numerous variants) is considered one of the major open problems in graph theory owing to its close relationship with topological graph theory, integer flow theory, graph coloring and the structure of snarks. It is easy to state: every 2-connected graph has a family of circuits covering every edge precisely twice. C.-Q. Zhang provides an up-to-date overview of the subject containing all of the techniques, methods and results developed to help solve the conjecture since the first publication of the subject in the 1940s. It is a useful survey for researchers already working on the problem and a fitting introduction for those just entering the field. The end-of-chapter exercises have been designed to challenge readers at every level and hints are provided in an appendix.

    • Terminology is listed in an appendix for those new to the field
    • Includes A Mini Encyclopedia of the Petersen Graph
    • Provides hints for selected exercises
    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: April 2012
    • format: Paperback
    • isbn: 9780521282352
    • length: 375 pages
    • dimensions: 226 x 152 x 20 mm
    • weight: 0.56kg
    • contains: 120 b/w illus. 200 exercises
    • availability: Available
  • Table of Contents

    1. Circuit double cover
    2. Faithful circuit cover
    3. Circuit chain and Petersen minor
    4. Small oddness
    5. Spanning minor, Kotzig frames
    6. Strong circuit double cover
    7. Spanning trees, supereulerian graphs
    8. Flows and circuit covers
    9. Girth, embedding, small cover
    10. Compatible circuit decompositions
    11. Other circuit decompositions
    12. Reductions of weights, coverages
    13. Orientable cover
    14. Shortest cycle covers
    15. Beyond integer (1, 2)-weight
    16. Petersen chain and Hamilton weights
    Appendix A. Preliminary
    Appendix B. Snarks, Petersen graph
    Appendix C. Integer flow theory
    Appendix D. Hints for exercises
    Glossary of terms and symbols
    Author index
    Subject index.

  • Author

    Cun-Quan Zhang, West Virginia University
    Cun-Quan Zhang is Eberly Distinguished Professor of Mathematics at West Virginia University.

Related Books

Sorry, this resource is locked

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

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 Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

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.


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.