Combinatorial Matrix Theory by Richard A. Brualdi
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Combinatorial Matrix Theory
By Richard A. Brualdi

Combinatorial Matrix Theory

By (author) See other recent books by Richard A. Brualdi See other recent books by Herbert J. Ryser
Series edited by G.-C. Rota See other recent books by G.-C. Rota
Format: Hardback

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Combinatorial Matrix Theory by Richard A. Brualdi

Book Description

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.

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Book Details

ISBN: 9780521322652
ISBN-10: 0521322650
Format: Hardback
(234mm x 156mm x 25mm)
Pages: 380
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 26-Jul-1991
Country of Publication: United Kingdom

Other Editions...


Books By Author Richard A. Brualdi

Combinatorial Matrix Theory by Richard A. Brualdi Combinatorial Matrix Theory, Paperback (January 2014)

This book, first published in 1991, is devoted to the exposition of combinatorial matrix theory.

Matrices of Sign-solvable Linear Systems by Richard A. Brualdi Matrices of Sign-solvable Linear Systems, Paperback (April 2009)

The large and diffuse body of literature connected with sign-solvability is presented as a coherent whole for the first time in this book.

Combinatorial Matrix Classes by Richard A. Brualdi Combinatorial Matrix Classes, Hardback (August 2006)

A thorough development of certain classes of matrices that have combinatorial definitions or significance.

» View all books by Richard A. Brualdi

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