Algorithmic aspects of graph connectivity Nagamochi, Hiroshi
Series: Encyclopedia of Mathematics and its Applications No. 123Publication details: New York Cambridge University Press 2008 Description: xv, 375 pISBN:- 9780521878647
- 511.5
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Book | Ahmedabad | 511.5 N2A5 (Browse shelf(Opens below)) | Available | 166701 |
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511.5 K7R2 Random graphs, geometry and asymptotic structure | 511.5 L2T6 Topics in graph automorphisms and reconstruction | 511.5 M2A5 Algorithmic graph theory | 511.5 N2A5 Algorithmic aspects of graph connectivity | 511.5 P6I6 An introduction to grids, graphs, and networks | 511.5 W4I6/85 Introduction to graph theory: hints and solutions manual | 511.5 Z6D3 Degeneracy graphs and simplex cycling |
Includes bibliographical references (p. 357-369) and index.
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 comprehensively 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.
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