Graphs and Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graphs and Matrices write by Ravindra B. Bapat. This book was released on 2014-09-19. Graphs and Matrices available in PDF, EPUB and Kindle. 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.
Introduction to Graph Theory
Introduction to Graph Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Graph Theory write by Richard J. Trudeau. This book was released on 2013-04-15. Introduction to Graph Theory available in PDF, EPUB and Kindle. Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.
Modern Graph Theory
Modern Graph Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Graph Theory write by Bela Bollobas. This book was released on 2013-12-01. Modern Graph Theory available in PDF, EPUB and Kindle. An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.
Graph Theory with Applications
Graph Theory with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graph Theory with Applications write by John Adrian Bondy. This book was released on 1976. Graph Theory with Applications available in PDF, EPUB and Kindle.
Graph Theory, 1736-1936
Graph Theory, 1736-1936 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graph Theory, 1736-1936 write by Norman Biggs. This book was released on 1986. Graph Theory, 1736-1936 available in PDF, EPUB and Kindle. First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.
