A First Course in Graph Theory

Author: Gary Chartrand
Publisher: Courier Corporation
ISBN: 0486297306
Category : Mathematics
Languages : en
Pages : 466

Book Description
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.

A First Course in Graph Theory

Author: Gary Chartrand
Publisher: Courier Corporation
ISBN: 0486483681
Category : Mathematics
Languages : en
Pages : 466

Book Description
Written by two of the most prominent figures in the field of graph theory, this comprehensive text provides a remarkably student-friendly approach. Geared toward undergraduates taking a first course in graph theory, its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

A First Course in Graph Theory and Combinatorics

Author: Sebastian M. Cioabă
Publisher: Springer Nature
ISBN: 9811909571
Category : Mathematics
Languages : en
Pages : 232

Book Description
This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick’s theorem on areas of lattice polygons and Graham–Pollak’s work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.

A Seminar on Graph Theory

Author: Frank Harary
Publisher: Courier Dover Publications
ISBN: 0486796841
Category : Mathematics
Languages : en
Pages : 129

Book Description
Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.

Graph Theory

Author: Bela Bollobas
Publisher: Springer Science & Business Media
ISBN: 1461299675
Category : Mathematics
Languages : en
Pages : 191

Book Description
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of well-known standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1

Introduction to Graph Theory

Author: Richard J. Trudeau
Publisher: Courier Corporation
ISBN: 0486318664
Category : Mathematics
Languages : en
Pages : 242

Book Description
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.

A Beginner's Guide to Graph Theory

Author: W.D. Wallis
Publisher: Springer Science & Business Media
ISBN: 0817645802
Category : Mathematics
Languages : en
Pages : 266

Book Description
Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

A Course on the Web Graph

Author: Anthony Bonato
Publisher: American Mathematical Soc.
ISBN: 0821844679
Category : Computers
Languages : en
Pages : 200

Book Description
"A Course on the Web Graph provides a comprehensive introduction to state-of-the-art research on the applications of graph theory to real-world networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching the web. After introducing key tools required for the study of web graph mathematics, an overview is given of the most widely studied models for the web graph. A discussion of popular web search algorithms, e.g. PageRank, is followed by additional topics, such as applications of infinite graph theory to the web graph, spectral properties of power law graphs, domination in the web graph, and the spread of viruses in networks. The book is based on a graduate course taught at the AARMS 2006 Summer School at Dalhousie University. As such it is self-contained and includes over 100 exercises. The reader of the book will gain a working knowledge of current research in graph theory and its modern applications. In addition, the reader will learn first-hand about models of the web, and the mathematics underlying modern search engines."--Publisher's description.

Combinatorics and Graph Theory

Author: John Harris
Publisher: Springer Science & Business Media
ISBN: 0387797114
Category : Mathematics
Languages : en
Pages : 392

Book Description
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.

Erdös on Graphs

Author: Fan Chung
Publisher: CRC Press
ISBN: 100010866X
Category : Mathematics
Languages : en
Pages : 155

Book Description
This book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.