Overview

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.
ISBN-13

9781107662605

ISBN-10

1107662605

Weight

0.11 Pounds

Dimensions

6.00 x 0.86 x 9.00 In

List Price

$63.99

Edition

1st Edition

Format

Paperback

Language

English

Pages

378 pages

Publisher

Cambridge University Press

Published On

2014-01-23


View All Offers

Sort by:

Condition
Seller
Seller Comments
Price
Used, Good
Seller details
Bonita
★★★★☆

Santa Clarita, CA, USA

Access codes and supplements are not guaranteed with used items. May be an ex-library book.
$65.44

 Free delivery by: 01 Apr 2026

✨ Brand New
Seller details
Alibris
★★★★★

Sparks, NV, USA

Print on demand Trade paperback (US). Intended for professional and scholarly audience.
$72.52

 Free delivery by: 01 Apr 2026


Bookstores.com relies on cookies to improve your experience.