Skip to content
Register Sign in Wishlist

Combinatorial Matrix Theory

£51.99

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: January 2014
  • availability: Available
  • format: Paperback
  • isbn: 9781107662605
Average user rating
(1 review)

£ 51.99
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
  • This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory. This subject concerns itself with the use of matrix theory and linear algebra in proving results in combinatorics (and vice versa), and with the intrinsic properties of matrices viewed as arrays of numbers rather than algebraic objects in themselves. There are chapters dealing with the many connections between matrices, graphs, digraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorial properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix, and Latin squares. The final chapter deals with algebraic characterizations of combinatorial properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jordan Canonical Form. The book is sufficiently self-contained for use as a graduate course text, but complete enough for a standard reference work on the basic theory. Thus it will be an essential purchase for combinatorialists, matrix theorists, and those numerical analysts working in numerical linear algebra.

    Customer reviews

    07th Oct 2013 by Ranju

    It is a very good book to getting knowledge about the combinatorial matrix theory. I like the most about its representation. thanks!

    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: January 2014
    • format: Paperback
    • isbn: 9781107662605
    • length: 378 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.51kg
    • availability: Available
  • Table of Contents

    1. Incidence matrices
    2. Matrices and graphs
    3. Matrices and digraphs
    4. Matrices and bigraphs
    5. Combinatorial matrix algebra
    6. Existence theorems for combinatorially constrained matrices
    7. Some special graphs
    8. The permanent
    9. Latin squares.

  • Authors

    Richard A. Brualdi, University of Wisconsin, Madison

    Herbert J. Ryser, California Institute of Technology

Related Books

also by this author

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 ×
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.

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.
×