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Combinatorial Matrix Theory: 39 (Encyclopedia of Mathematics and its Applications, Series Number 39) - Hardcover
Synopsis
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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Review
"A reader who is familiar with basic results in matrix theory will surely be captivated by this concise self-contained introduction to graph theory and combinatorial ideas and reasoning." S. K. Tharthare, Mathematical Reviews
"...a major addition to the literature of combinatorics." W. T. Tutte, Bulletin of the American Mathematical Society
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.
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Combinatorial Matrix Theory
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Cambridge University Press, 1991
ISBN 10: 0521322650
ISBN 13: 9780521322652
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Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications, Series Number 39)
Published by
Cambridge University Press, 1991
ISBN 10: 0521322650
ISBN 13: 9780521322652
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Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications)
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ISBN 10: 0521322650
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Combinatorial Matrix Theory
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ISBN 10: 0521322650
ISBN 13: 9780521322652
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Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications, Series Number 39)
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ISBN 10: 0521322650
ISBN 13: 9780521322652
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Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications, Series Number 39)
Published by
Cambridge University Press, 1991
ISBN 10: 0521322650
ISBN 13: 9780521322652
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Combinatorial Matrix Theory (Hardcover)
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Cambridge University Press, Cambridge, 1991
ISBN 10: 0521322650
ISBN 13: 9780521322652
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Hardcover. Condition: new. 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. The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorical properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix and Latin squares. The book ends by considering algebraic characterizations of combinatorical properties and the use of combinatorial arguments in proving classical algebraic theorems, including the Cayley-Hamilton Theorem and the Jorda Canonical Form. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521322652
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Combinatorial Matrix Theory (Encyclopedia of Mathematics and its Applications, Series Number 39)
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ISBN 10: 0521322650
ISBN 13: 9780521322652
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Combinatorial Matrix Theory
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 prope. Seller Inventory # 446932058
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