Introductory Graph Theory

Introductory Graph Theory PDF

Author: Gary Chartrand

Publisher: Courier Corporation

Published: 2012-04-30

Total Pages: 320

ISBN-13: 0486134946

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Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, more.

Extremal Graph Theory

Extremal Graph Theory PDF

Author: Béla Bollobás

Publisher: Courier Corporation

Published: 2004-01-01

Total Pages: 514

ISBN-13: 0486435962

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The ever-expanding field of extremal graph theory encompasses an array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume presents a concise yet comprehensive treatment, featuring complete proofs for almost all of its results and numerous exercises. 1978 edition.

Applied Graph Theory

Applied Graph Theory PDF

Author: Wai-Kai Chen

Publisher: Elsevier

Published: 2014-11-28

Total Pages: 559

ISBN-13: 1483164152

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Applied Graph Theory: Graphs and Electrical Networks, Second Revised Edition provides a concise discussion of the fundamentals of graph and its application to the electrical network theory. The book emphasizes the mathematical precision of the concepts and principles involved. The text first covers the basic theory of graph, and then proceeds to tackling in the next three chapters the various applications of graph to electrical network theory. These chapters also discuss the foundations of electrical network theory; directed-graph solutions of linear algebraic equations; and topological analysis of linear systems. Next, the book covers trees and their generation. Chapter 6 deals with the realizability of directed graphs with prescribed degrees, while Chapter 7 talks about state equations of networks. The book will be of great use to researchers of network topology, linear systems, and circuitries.

Graph Theory with Applications to Engineering and Computer Science

Graph Theory with Applications to Engineering and Computer Science PDF

Author: Narsingh Deo

Publisher: Courier Dover Publications

Published: 2017-03-09

Total Pages: 496

ISBN-13: 0486820815

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Outstanding introductory treatment, geared toward advanced undergraduates and graduate students who require knowledge of graph theory. The first nine chapters constitute an excellent overview; the remaining chapters are more advanced and provide material for a variety of courses. 1974 edition.

Topics in Structural Graph Theory

Topics in Structural Graph Theory PDF

Author: Lowell W. Beineke

Publisher: Cambridge University Press

Published: 2012-11-08

Total Pages: 346

ISBN-13: 1107244307

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The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.