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.

This volume contains the proceedings of the 19th International Symposium on Algorithmsand Computation (ISAAC 2008), held on the Gold Coast, Australia, December 15-17, 2008. In the past, it was held in Tokyo (1990), Taipei (1991), Nagoya (1992), Hong Kong (1993), Beijing (1994), Cairns (1995), Osaka (1996), Singapore (1997), Daejeon (1998), Chennai (1999), Taipei (2000), Christchurch (2001), Vancouver (2002), Kyoto (2003), Hong Kong (2004), Hainan (2005), Kolkata (2006), and Sendai (2007). ISAACis anannualinternationalsymposiumthatcoversthe verywide range of topics in the ?eld of algorithms and computation. The main purpose of the symposium is to provide a forum for researchers working in algorithms and theoryofcomputationfrom allovertheworld.In responseto ourcallfor papers, we received 229 submissions from 40 countries. The task of selecting the papers in this volume was done by our Program Committee and many other external reviewers. After an extremely rigorous review process and extensive discussion, the Committee selected 78 papers. We hope all accepted papers will eventually appear in scienti?c journals in a more polished form. Two special issues, one of Algorithmica and one of the International Journal on Computational Geometry and Applications, with selected papers from ISAAC 2008 are in preparation

This book constitutes the refereed proceedings of the 7th International Symposium on Algorithms and Computation, ISAAC'96, held in Osaka, Japan, in December 1996.
The 43 revised full papers were selected from a total of 119 submissions; also included are an abstract of one invited talk and a full version of a second. Among the topics covered are computational geometry, graph theory, graph algorithms, combinatorial optimization, searching and sorting, networking, scheduling, and coding and cryptology.

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.