Graphs, Networks and Algorithms

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.

Prefaces
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
Appendix A: Some NP-Complete Problems
Appendix B: Solutions
Appendix C: List of Symbols
References
Index.

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)

.... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ... K.Engel, Mathematical Reviews 2002