The Zeroth Book Of Graph Theory PDF Download
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Author | : Martin Charles Golumbic |
Publisher | : Springer Nature |
Total Pages | : 122 |
Release | : 2021-02-09 |
Genre | : Mathematics |
ISBN | : 3030614204 |
Download The Zeroth Book of Graph Theory Book in PDF, ePub and Kindle
Marking 94 years since its first appearance, this book provides an annotated translation of Sainte-Laguë's seminal monograph Les réseaux (ou graphes), drawing attention to its fundamental principles and ideas. Sainte-Laguë's 1926 monograph appeared only in French, but in the 1990s H. Gropp published a number of English papers describing several aspects of the book. He expressed his hope that an English translation might sometime be available to the mathematics community. In the 10 years following the appearance of Les réseaux (ou graphes), the development of graph theory continued, culminating in the publication of the first full book on the theory of finite and infinite graphs in 1936 by Dénes König. This remained the only well-known text until Claude Berge's 1958 book on the theory and applications of graphs. By 1960, graph theory had emerged as a significant mathematical discipline of its own. This book will be of interest to graph theorists and mathematical historians.
Author | : Gary Chartrand |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2013-05-20 |
Genre | : Mathematics |
ISBN | : 0486297306 |
Download A First Course in Graph Theory Book in PDF, ePub and Kindle
Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.
Author | : Richard J. Trudeau |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-15 |
Genre | : Mathematics |
ISBN | : 0486318664 |
Download Introduction to Graph Theory Book 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.
Author | : Frank Harary |
Publisher | : Courier Dover Publications |
Total Pages | : 129 |
Release | : 2015-07-15 |
Genre | : Mathematics |
ISBN | : 0486796841 |
Download A Seminar on Graph Theory Book in PDF, ePub and Kindle
Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.
Author | : Karin R Saoub |
Publisher | : CRC Press |
Total Pages | : 421 |
Release | : 2021-03-17 |
Genre | : Mathematics |
ISBN | : 0429779887 |
Download Graph Theory Book in PDF, ePub and Kindle
Graph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis. This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations. Current applications and exploratory exercises are provided to further the reader’s mathematical reasoning and understanding of the relevance of graph theory to the modern world. Features The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths. The third chapter focuses entirely on trees – terminology, applications, and theory. Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach. Hints and Solutions to selected exercises provided at the back of the book. Author Karin R. Saoub is an Associate Professor of Mathematics at Roanoke College in Salem, Virginia. She earned her PhD in mathematics from Arizona State University and BA from Wellesley College. Her research focuses on graph coloring and on-line algorithms applied to tolerance graphs. She is also the author of A Tour Through Graph Theory, published by CRC Press.
Author | : Martin Charles Golumbic |
Publisher | : |
Total Pages | : 0 |
Release | : 2021 |
Genre | : |
ISBN | : 9783030614218 |
Download The Zeroth Book of Graph Theory Book in PDF, ePub and Kindle
Marking 94 years since its first appearance, this book provides an annotated translation of Sainte-Laguë's seminal monograph Les réseaux (ou graphes), drawing attention to its fundamental principles and ideas. Sainte-Laguë's 1926 monograph appeared only in French, but in the 1990s H. Gropp published a number of English papers describing several aspects of the book. He expressed his hope that an English translation might sometime be available to the mathematics community. In the 10 years following the appearance of Les réseaux (ou graphes), the development of graph theory continued, culminating in the publication of the first full book on the theory of finite and infinite graphs in 1936 by Dénes König. This remained the only well-known text until Claude Berge's 1958 book on the theory and applications of graphs. By 1960, graph theory had emerged as a significant mathematical discipline of its own. This book will be of interest to graph theorists and mathematical historians.
Author | : John Harris |
Publisher | : Springer Science & Business Media |
Total Pages | : 392 |
Release | : 2009-04-03 |
Genre | : Mathematics |
ISBN | : 0387797114 |
Download Combinatorics and Graph Theory Book in PDF, ePub and Kindle
These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
Author | : Ravindra B. Bapat |
Publisher | : Springer |
Total Pages | : 197 |
Release | : 2014-09-19 |
Genre | : Mathematics |
ISBN | : 1447165691 |
Download Graphs and Matrices Book 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.
Author | : Jonathan L. Gross |
Publisher | : CRC Press |
Total Pages | : 1200 |
Release | : 2003-12-29 |
Genre | : Computers |
ISBN | : 9780203490204 |
Download Handbook of Graph Theory Book in PDF, ePub and Kindle
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
Author | : W. T. Tutte |
Publisher | : Clarendon Press |
Total Pages | : 164 |
Release | : 2012-05-24 |
Genre | : Mathematics |
ISBN | : 0191637785 |
Download Graph Theory As I Have Known It Book in PDF, ePub and Kindle
This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.