Graphs, Networks and Algorithms

by Dieter Jungnickel

Overview

From the reviews of the 2nd edition

The substantial development effort of this text clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate or low-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to exercises are a real bonus for self study by students. The book is highly recommended.

Zentralblatt für Mathematik 2005

The third edition of this standard textbook contains additional material: two new application sections (on graphical codes and their decoding) and about two dozen further exercises (with solutions, as throughout the text). Moreover, recent developments have been discussed and referenced, in particular for the travelling salesman problem. The presentation has been improved in many places (for instance, in the chapters on shortest paths and on colorings), and a number of proofs have been reorganized, making them more precise or more transparent.

Product Details

ISBN-13:	9783642091865
Publisher:	Springer Berlin Heidelberg
Publication date:	11/29/2010
Series:	Algorithms and Computation in Mathematics , #5
Edition description:	Softcover reprint of hardcover 3rd ed. 2008
Pages:	650
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

About the Author

Dieter Jungnickel is an internationally known mathematician working in the field of applied algebra, coding theory, design theory, finite geometry, codes and designs and combinatorial optimization.

He has published several well-known books, including “Optimization Methods”, “Finite Fields”, “Coding Theory” and “Graphs, Networks and Algorithms”, some of which have been published both in English and German.

Table of Contents

Basic Graph Theory.- Algorithms and Complexity.- Shortest Paths.- Spanning Trees.- The Greedy Algorithm.- Flows.- Combinatorial Applications.- Connectivity and Depth First Search.- Colorings.- Circulations.- The Network Simplex Algorithm.- Synthesis of Networks.- Matchings.- Weighted matchings.- A Hard Problem: The TSP.

Editorial Reviews

From the reviews of the fourth edition:

“This fourth edition of a long-respected resource will become an indispensable reference for any researcher, teacher, or student who deals with problems of combinatorial optimization. The book qualifies as a first-class textbook, built on university courses, workshops, seminars, discussions, and presentations, and enriched with a large set of well-designed examples. … the author has provided solutions and hints, which make the text easier to use for self-study.” (Alexander Tzanov, Computing Reviews, September, 2013)

“This book is a first course or class on graphs, networks and algorithms, and is indispensable for everybody who has to teach combinatorial optimization. The well-worked solutions to the exercises, or hints for some, are indispensable for the students, or readers, does not remain helpless. It is very helpful and suitable for graduate courses in combinatorics, as well as for independent study and research by students, teachers, professionals and researcher in this area. In short, the excellent book of Jungnickel, ought to available for reference.” (Francisco José Cano Sevilla, The European Mathematical Society, April, 2013)

“This is certainly an accessible, serious, and time tested textbook at the graduate level on graph algorithms. I would also wholeheartedly recommend this book for professionals who work in this area as a reference book because of its thorough and encyclopedic nature. … this book gives a good presentation of some of the typical problems in the area, an insightful exposition of the related theoretical issues, as well as the associated classic algorithmic solutions with sufficient analysis.” (Zhizhang Shen, Zentralblatt MATH, Vol. 1255, 2013)

“Graphs, Networks, and Algorithms is a comprehensive and up-to-date textbook and reference on graph-theoretical methods in combinatorial optimization, together with fundamentals of graph theory.… A key strength of this book is the extensive references and commentary on extensions, generalizations, and further results … . The book is written at a level suitable for advanced mathematics or computer science undergraduates … . I give it a very strong recommendation as an advanced and up-to-date text and reference on combinatorial optimization and applied graph theory.” (Francis Fung, The Mathematical Association of America, January, 2012)

From the Publisher