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Graphs, Networks and Algorithms

“.... 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)
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Algorithms and Computation
in Mathematics
•
Editors
Arjeh M. Cohen Henri Cohen
David Eisenbud Michael F. Singer Bernd Sturmfels
Volume 5

ABC
Dieter Jungnickel
and Algorithms
Graphs, Networks
With 209 Figures and 9 Tables
Third Edition

Germany
Mathematics Subject Classification (2000): 11-01, 11Y40, 11E12, 11R29
ISSN 1431-1550
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is
concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,
reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication
or parts thereof is permitted only under the provisions of the German Copyright Law of September 9,
1965, in its current version, and permission for use must always be obtained from Springer. Violations are
liable for prosecution under the German Copyright Law.
Springer is a part of Springer Science+Business Media
springer.com
c
The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply,
even in the absence of a specific statement, that such names are exempt from the relevant protective laws
and regulations and therefore free for general use.
A
E
Cover design: design & production GmbH, Heidelberg
Printed on acid-free paper
543210
Dieter Jungnickel
Universit t Augsburg
86135 Augsburg
E-mail: jungnickel@math.uni-augsburg.de
Institut f r Mathematik
ä
ü
Library of Congress Control Number: 2007929271
ISBN 978-3-540-72779-8 Springer Berlin Heidelberg New York
SPIN: 12063185
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macro package
Typesetting by the author and SPi using a Springer
46/SPi
Springer-Verlag Berlin Heidelberg 2008

A mathematician, like a painter or a poet,
is a maker of patterns.
If his patterns are more permanent than theirs,
it is because they are made with ideas.
G. H. Hardy
To my teacher, Prof. Hanfried Lenz
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