Share

Graphs and Matrices

2014-09-19 Mathematics
Download Graphs and Matrices PDF Online Free

Author :
Release : 2014-09-19
Genre : Mathematics
Kind : eBook
Book Rating : 691/5 ( reviews)

GET EBOOK


Book Synopsis Graphs and Matrices by : Ravindra B. Bapat

Download or read book Graphs and Matrices written by Ravindra B. Bapat. This book was released on 2014-09-19. Available in PDF, EPUB and Kindle. Book excerpt: This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.

The Mutually Beneficial Relationship of Graphs and Matrices

Mathematics
Download The Mutually Beneficial Relationship of Graphs and Matrices PDF Online Free

Author :
Release :
Genre : Mathematics
Kind : eBook
Book Rating : 618/5 ( reviews)

GET EBOOK


Book Synopsis The Mutually Beneficial Relationship of Graphs and Matrices by : Richard A. Brualdi

Download or read book The Mutually Beneficial Relationship of Graphs and Matrices written by Richard A. Brualdi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Graphs and Matrices

2010-07-23 Mathematics
Download Graphs and Matrices PDF Online Free

Author :
Release : 2010-07-23
Genre : Mathematics
Kind : eBook
Book Rating : 817/5 ( reviews)

GET EBOOK


Book Synopsis Graphs and Matrices by : Ravindra B. Bapat

Download or read book Graphs and Matrices written by Ravindra B. Bapat. This book was released on 2010-07-23. Available in PDF, EPUB and Kindle. Book excerpt: Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field. As the title suggests, the book’s primary focus is graph theory, with an emphasis on topics relating to linear algebra and matrix theory. Information is presented at a relatively elementary level with the view of leading the student into further research. In the first part of the book matrix preliminaries are discussed and the basic properties of graph-associated matrices highlighted. Further topics include those of graph theory such as regular graphs and algebraic connectivity, Laplacian eigenvalues of threshold graphs, positive definite completion problem and graph-based matrix games. Whilst this book will be invaluable to researchers in graph theory, it may also be of benefit to a wider, cross-disciplinary readership.

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

2016-04-19 Computers
Download Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs PDF Online Free

Author :
Release : 2016-04-19
Genre : Computers
Kind : eBook
Book Rating : 393/5 ( reviews)

GET EBOOK


Book Synopsis Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs by : Jason J. Molitierno

Download or read book Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs written by Jason J. Molitierno. This book was released on 2016-04-19. Available in PDF, EPUB and Kindle. Book excerpt: On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o

The Mutually Beneficial Relationship of Graphs and Matrices

2011-07-06 Mathematics
Download The Mutually Beneficial Relationship of Graphs and Matrices PDF Online Free

Author :
Release : 2011-07-06
Genre : Mathematics
Kind : eBook
Book Rating : 155/5 ( reviews)

GET EBOOK


Book Synopsis The Mutually Beneficial Relationship of Graphs and Matrices by : Richard A. Brualdi

Download or read book The Mutually Beneficial Relationship of Graphs and Matrices written by Richard A. Brualdi. This book was released on 2011-07-06. Available in PDF, EPUB and Kindle. Book excerpt: Graphs and matrices enjoy a fascinating and mutually beneficial relationship. This interplay has benefited both graph theory and linear algebra. In one direction, knowledge about one of the graphs that can be associated with a matrix can be used to illuminate matrix properties and to get better information about the matrix. Examples include the use of digraphs to obtain strong results on diagonal dominance and eigenvalue inclusion regions and the use of the Rado-Hall theorem to deduce properties of special classes of matrices. Going the other way, linear algebraic properties of one of the matrices associated with a graph can be used to obtain useful combinatorial information about the graph. The adjacency matrix and the Laplacian matrix are two well-known matrices associated to a graph, and their eigenvalues encode important information about the graph. Another important linear algebraic invariant associated with a graph is the Colin de Verdiere number, which, for instance, characterizes certain topological properties of the graph. This book is not a comprehensive study of graphs and matrices. The particular content of the lectures was chosen for its accessibility, beauty, and current relevance, and for the possibility of enticing the audience to want to learn more.

You may also like...