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Matrices in Combinatorics and Graph Theory - Bolian Liu#Hong-Jian Lai
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Bolian Liu#Hong-Jian Lai:

Matrices in Combinatorics and Graph Theory - neues Buch

2000, ISBN: 9780792364696

ID: 640342575

Combinatorics and Matrix Theory have a symbiotic, or mutually beneficial, relationship. This relationship is discussed in my paper The symbiotic relationship of combinatorics and matrix theoryl where I attempted to justify this description. One could say that a more detailed justification was given in my book with H. J. Ryser entitled Combinatorial Matrix Theon? where an attempt was made to give a broad picture of the use of combinatorial ideas in matrix theory and the use of matrix theory in proving theorems which, at least on the surface, are combinatorial in nature. In the book by Liu and Lai, this picture is enlarged and expanded to include recent developments and contributions of Chinese mathematicians, many of which have not been readily available to those of us who are unfamiliar with Chinese journals. Necessarily, there is some overlap with the book Combinatorial Matrix Theory. Some of the additional topics include: spectra of graphs, eulerian graph problems, Shannon capacity, generalized inverses of Boolean matrices, matrix rearrangements, and matrix completions. A topic to which many Chinese mathematicians have made substantial contributions is the combinatorial analysis of powers of nonnegative matrices, and a large chapter is devoted to this topic. This book should be a valuable resource for mathematicians working in the area of combinatorial matrix theory. Richard A. Brualdi University of Wisconsin - Madison 1 Linear Alg. Applies., vols. 162-4, 1992, 65-105 2Camhridge University Press, 1991. Matrices in Combinatorics and Graph Theory Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 31.10.2000, Springer, .200

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Bolian Liu#Hong-Jian Lai:

Matrices in Combinatorics and Graph Theory - neues Buch

ISBN: 9780792364696

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Matrices in Combinatorics and Graph Theory Combinatorics and Matrix Theory have a symbiotic, or mutually beneficial, relationship. This relationship is discussed in my paper The symbiotic relationship of combinatorics and matrix theoryl where I attempted to justify this description. One could say that a more detailed justification was given in my book with H. J. Ryser entitled Combinatorial Matrix Theon? where an attempt was made to give a broad picture of the use of combinatorial ideas in matrix theory and the use of matrix theory in proving theorems which, at least on the surface, are combinatorial in nature. In the book by Liu and Lai, this picture is enlarged and expanded to include recent developments and contributions of Chinese mathematicians, many of which have not been readily available to those of us who are unfamiliar with Chinese journals. Necessarily, there is some overlap with the book Combinatorial Matrix Theory. Some of the additional topics include: spectra of graphs, eulerian graph problems, Shannon capacity, generalized inverses of Boolean matrices, matrix rearrangements, and matrix completions. A topic to which many Chinese mathematicians have made substantial contributions is the combinatorial analysis of powers of nonnegative matrices, and a large chapter is devoted to this topic. This book should be a valuable resource for mathematicians working in the area of combinatorial matrix theory. Richard A. Brualdi University of Wisconsin - Madison 1 Linear Alg. Applies., vols. 162-4, 1992, 65-105 2Camhridge University Press, 1991. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6469-6, Springer

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Bolian Liu#Hong-Jian Lai:
Matrices in Combinatorics and Graph Theory - neues Buch

ISBN: 9780792364696

ID: 186426205

Combinatorics and Matrix Theory have a symbiotic, or mutually beneficial, relationship. This relationship is discussed in my paper The symbiotic relationship of combinatorics and matrix theoryl where I attempted to justify this description. One could say that a more detailed justification was given in my book with H. J. Ryser entitled Combinatorial Matrix Theon? where an attempt was made to give a broad picture of the use of combinatorial ideas in matrix theory and the use of matrix theory in proving theorems which, at least on the surface, are combinatorial in nature. In the book by Liu and Lai, this picture is enlarged and expanded to include recent developments and contributions of Chinese mathematicians, many of which have not been readily available to those of us who are unfamiliar with Chinese journals. Necessarily, there is some overlap with the book Combinatorial Matrix Theory. Some of the additional topics include: spectra of graphs, eulerian graph problems, Shannon capacity, generalized inverses of Boolean matrices, matrix rearrangements, and matrix completions. A topic to which many Chinese mathematicians have made substantial contributions is the combinatorial analysis of powers of nonnegative matrices, and a large chapter is devoted to this topic. This book should be a valuable resource for mathematicians working in the area of combinatorial matrix theory. Richard A. Brualdi University of Wisconsin - Madison 1 Linear Alg. Applies., vols. 162-4, 1992, 65-105 2Camhridge University Press, 1991. Matrices in Combinatorics and Graph Theory Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Matrices in Combinatorics and Graph Theory - Bolian Liu, Hong-Jian Lai
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Bolian Liu, Hong-Jian Lai:
Matrices in Combinatorics and Graph Theory - neues Buch

ISBN: 9780792364696

ID: 978079236469

The first chapter of this book provides a brief treatment of the basics of the subject. The other chapters deal with the various decompositions of non-negative matrices, Birkhoff type theorems, the study of the powers of non-negative matrices, applications of matrix methods to other combinatorial problems, and applications of combinatorial methods to matrix problems and linear algebra problems. The coverage of prerequisites has been kept to a minimum. Nevertheless, the book is basically self-contained (an Appendix provides the necessary background in linear algebra, graph theory and combinatorics). There are many exercises, all of which are accompanied by sketched solutions. Audience: The book is suitable for a graduate course as well as being an excellent reference and a valuable resource for mathematicians working in the area of combinatorial matrix theory. Bolian Liu, Hong-Jian Lai, Books, Science and Nature, Matrices in Combinatorics and Graph Theory Books>Science and Nature, Springer US

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Liu, Bolian / Bolian Liu, Liu / Hong-Jian Lai, Lai:
Matrices in Combinatorics and Graph Theory - gebrauchtes Buch

ISBN: 9780792364696

ID: 3171120

The first chapter of this book provides a brief treatment of the basics of the subject. The other chapters deal with the various decompositions of non-negative matrices, Birkhoff type theorems, the study of the powers of non-negative matrices, applications of matrix methods to other combinatorial problems, and applications of combinatorial methods to matrix problems and linear algebra problems. The coverage of prerequisites has been kept to a minimum. Nevertheless, the book is basically self-contained (an Appendix provides the necessary background in linear algebra, graph theory and combinatorics). There are many exercises, all of which are accompanied by sketched solutions. Audience: The book is suitable for a graduate course as well as being an excellent reference and a valuable resource for mathematicians working in the area of combinatorial matrix theory. Matrices in Combinatorics and Graph Theory Liu, Bolian / Bolian Liu, Liu / Hong-Jian Lai, Lai, Springer

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Details zum Buch
Matrices in Combinatorics and Graph Theory
Autor:

Hong-Jian Lai; Bolian Liu

Titel:

Matrices in Combinatorics and Graph Theory

ISBN-Nummer:

0792364694

The first chapter of this book provides a brief treatment of the basics of the subject. The other chapters deal with the various decompositions of non-negative matrices, Birkhoff type theorems, the study of the powers of non-negative matrices, applications of matrix methods to other combinatorial problems, and applications of combinatorial methods to matrix problems and linear algebra problems. The coverage of prerequisites has been kept to a minimum. Nevertheless, the book is basically self-contained (an Appendix provides the necessary background in linear algebra, graph theory and combinatorics). There are many exercises, all of which are accompanied by sketched solutions. Audience: The book is suitable for a graduate course as well as being an excellent reference and a valuable resource for mathematicians working in the area of combinatorial matrix theory.

Detailangaben zum Buch - Matrices in Combinatorics and Graph Theory


EAN (ISBN-13): 9780792364696
ISBN (ISBN-10): 0792364694
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: Springer-Verlag GmbH
328 Seiten
Gewicht: 0,654 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 12.01.2007 08:49:39
Buch zuletzt gefunden am 24.11.2016 12:18:31
ISBN/EAN: 0792364694

ISBN - alternative Schreibweisen:
0-7923-6469-4, 978-0-7923-6469-6

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