Combinatorial Matrix Theory (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 1991

0521322650 / 9780521322652

Series: Book 26 of 188 - Encyclopedia of Mathematics and its Applications

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Hardcover. This is the first book 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. This book is devoted to the exposition of combinatorial matrix theory. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Combinatorial Matrix Theory (Hardcover)
Author
Richard A. Brualdi
Publisher
Cambridge University Press, Cambridge
Publication year
1991
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521322650
ISBN 13
9780521322652
Series
Book 26 of 188: Encyclopedia of Mathematics and its Applications

CitiRetail

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