
Matrices in Combinatorics and Graph Theory
Springer (Publisher)
Published on 7. December 2010
Book
Paperback/Softback
XI, 310 pages
978-1-4419-4834-2 (ISBN)
Description
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.
More details
Series
Edition
1st ed. Softcover of orig. ed. 2000
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XI, 310 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 18 mm
Weight
493 gr
ISBN-13
978-1-4419-4834-2 (9781441948342)
DOI
10.1007/978-1-4757-3165-1
Schweitzer Classification
Other editions
Additional editions

Bolian Liu | Hong-Jian Lai
Matrices in Combinatorics and Graph Theory
E-Book
03/2013
Springer
€96.29
Available for download

Bolian Liu | Hong-Jian Lai
Matrices in Combinatorics and Graph Theory
Book
10/2000
Kluwer Academic Publishers
€106.99
Shipment within 15-20 days
Content
1 Matrices and Graphs.- 2 Combinatorial Properties of Matrices.- 3 Powers of Nonnegative Matrices.- 4 Matrices in Combinatorial Problems.- 5 Combinatorial Analysis in Matrices.- 6 Appendix.