Algorithmic Aspects of Graph Connectivity
1st Edition
Published on 4. April 2011
978-0-511-83913-9 (ISBN)
Description
Algorithmic Aspects of Graph Connectivity is the first comprehensive book on this central notion in graph and network theory, emphasizing its algorithmic aspects. Because of its wide applications in the fields of communication, transportation, and production, graph connectivity has made tremendous algorithmic progress under the influence of the theory of complexity and algorithms in modern computer science. The book contains various definitions of connectivity, including edge-connectivity and vertex-connectivity, and their ramifications, as well as related topics such as flows and cuts. The authors thoroughly discuss new concepts and algorithms that allow for quicker and more efficient computing, such as maximum adjacency ordering of vertices. Covering both basic definitions and advanced topics, this book can be used as a textbook in graduate courses in mathematical sciences, such as discrete mathematics, combinatorics, and operations research, and as a reference book for specialists in discrete mathematics and its applications.
Reviews / Votes
'... a comprehensive graduate level text and a worthy addition to a professional library.' SciTech Book News 'This fine graduate-level textbook discusses the algorithmic efficiency of graph connectivity problems. What is impressive about this book is the unified framework in which algorithmic efficiency is discussed.' Mathematical Reviews 'This excellent book can be an important source for researchers and a valuable textbook for graduate students.' Zentralblatt MATH '... comprehensive and detailed ...' EMS NewsletterMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 1 Tables, unspecified; 1 Plates, unspecified
File size
48,94 MB
ISBN-13
978-0-511-83913-9 (9780511839139)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Hiroshi Nagamochi | Toshihide Ibaraki
Algorithmic Aspects of Graph Connectivity
Book
09/2008
Cambridge University Press
€121.50
Shipment within 15-20 days
Persons
Hiroshi Nagamochi is a professor at the Graduate School of Informatics, Kyoto University, Japan. He is a member of the Operations Research Society of Japan and the Information Processing Society. Toshihide Ibaraki is a Professor with Kwansei Gakuin University, Japan and Professor Emeritus of Kyoto University, Japan. He is a Fellow of the ACM and Operations Research Society of Japan.
Content
1. Introduction; 2. MA ordering and forest decompositions; 3. Minimum cuts; 4. Cut enumeration; 5. Cactus representations; 6. Extreme vertex sets; 7. Edge-splitting; 8. Connectivity augmentation; 9. Source location problems; 10. Submodular and posi-modular set functions.
