Skip to content
Register Sign in Wishlist

Random Graph Dynamics

$39.99 (C)

Part of Cambridge Series in Statistical and Probabilistic Mathematics

  • Date Published: May 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521150163

$ 39.99 (C)
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an examination copy?

This title is not currently available for examination. However, 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
  • The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At about the same time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. While this literature is extensive, many of the papers are based on simulations and nonrigorous arguments. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature of this book is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.

    • The treatment exposes the reader to a wide variety of topics in probability theory and mathematical techniques
    • A number of open-ended problems are mentioned
    • The exposition concentrates on ideas behind proofs rather than technical details
    Read more

    Reviews & endorsements

    "A very valuable addition to the growing field of random graphs, providing a systematic coverage of these novel models."
    Michael Krivelevich, Mathematical Reviews

    "The book is written in a friendly, chatty style, making it easy to read; I very much like that. In summary, Random Graph Dynamics is a nice contribution to the area of random graphs and a source of valuable insights."
    Malwina J. Luczak, Journal of the American Statistical Association

    See more reviews

    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: May 2010
    • format: Paperback
    • isbn: 9780521150163
    • length: 220 pages
    • dimensions: 253 x 178 x 11 mm
    • weight: 0.42kg
    • availability: Available
  • Table of Contents

    1. Overview
    2. Erdos–Renyi random graphs
    3. Fixed degree distributions
    4. Power laws
    5. Small worlds
    6. Random walks
    7. CHKNS model.

  • Author

    Rick Durrett, Duke University, North Carolina

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.
×