Graphs, networks and algorithms

Bibliographic Information

Graphs, networks and algorithms

Dieter Jungnickel

(Algorithms and computation in mathematics, v. 5)

Springer, c2005

2nd ed

Available at  / 26 libraries

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Note

"With 195 figures"

"Second, completely revised edition (based on the translation of the third German edition by Tilla Schade in collaboration with the author"--T.p. verso

Mathematics Subject Classification (2000): 05-01, 68R10, 68Q25

Includes bibliographical references (p. [565]-596) and index

Description and Table of Contents

Description

From the reviews of the first edition:"...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..." Mathematical Reviews 2002This thoroughly revised new edition offers a new chapter on the network simplex algorithm and a section on the five color theorem. Moreover, numerous smaller changes and corrections have been made and several recent developments have been discussed and referenced.

Table of Contents

Preface.- 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.- Matchings.- Weighted Matchings.- A Hard Problem: The TSP.- Appendix A: Solutions.- Appendix B: List of Symbols.- References.- Index.

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