1# Library to Find Best eBook for Read
Author : Courtney Brown
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 091/5 ( reviews)
Book Synopsis Graph Algebra by : Courtney Brown
Download or read book Graph Algebra written by Courtney Brown. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: This book describes an easily applied language of mathematical modeling that uses boxes and arrows to develop very sophisticated, algebraic statements of social and political phenomena.
Author : Ravindra B. Bapat
Release : 2014-09-19
Genre : Mathematics
Kind : eBook
Book Rating : 691/5 ( reviews)
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.
Author : Iain Raeburn
Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 609/5 ( reviews)
Book Synopsis Graph Algebras by : Iain Raeburn
Download or read book Graph Algebras written by Iain Raeburn. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: Graph algebras are a family of operator algebras which are associated to directed graphs. These algebras have an attractive structure theory in which algebraic properties of the algebra are related to the behavior of paths in the underlying graph. In the past few years there has been a great deal of activity in this area, and graph algebras have cropped up in a surprising variety of situations, including non-abelian duality, non-commutative geometry, and the classification of simple $C*$-algebras. The first part of the book provides an introduction to the subject suitable for students who have seen a first course on the basics of $C*$-algebras. In the second part, the author surveys the literature on the structure theory of graph algebras, highlights some applications of this theory, and discusses several recent generalizations which seem particularly promising. The volume is suitable for graduate students and research mathematicians interested in graph theory and operator algebras.
Author : Chris Godsil
Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 637/5 ( reviews)
Book Synopsis Algebraic Graph Theory by : Chris Godsil
Download or read book Algebraic Graph Theory written by Chris Godsil. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.
Author : Ilwoo Cho
Release : 2013-09-11
Genre : Mathematics
Kind : eBook
Book Rating : 19X/5 ( reviews)
Book Synopsis Algebras, Graphs and their Applications by : Ilwoo Cho
Download or read book Algebras, Graphs and their Applications written by Ilwoo Cho. This book was released on 2013-09-11. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.
