Algorithmic Aspects of Graph Connectivity

AvHiroshi Nagamochi,Toshihide Ibaraki

Inbunden, Engelska, 2008

Del 123 i serien Encyclopedia of Mathematics and its Applications

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2008-09-08
Mått:160 x 234 x 33 mm
Vikt:680 g
Format:Inbunden
Språk:Engelska
Serie:Encyclopedia of Mathematics and its Applications
Antal sidor:392
Förlag:Cambridge University Press
ISBN:9780521878647

Utforska kategorier

Kombinatorik och grafteori inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

'… a comprehensive graduate level text and a worthy addition to a professional library.' SciTech Book News

Innehållsförteckning

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.