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Algorithmic Aspects of Graph Connectivity

Author: Hiroshi Nagamochi

Publisher: Cambridge University Press

Published: 2019-05-16

Total Pages: 391

ISBN-13: 9781108735490

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.

Algorithmic Aspects in Information and Management

Author: Ming-Yang Kao

Publisher: Springer

Published: 2007-06-26

Total Pages: 428

ISBN-13: 3540728708

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This book constitutes the refereed proceedings of the Third International Conference on Algorithmic Aspects in Information and Management, AAIM 2007, held in Portland, OR, USA in June 2007. It covers graph algorithms, combinatorics, scheduling, graph theory, network algorithms, game theory, option theory, computational geometry, graph theory and combinatorics, as well as networks and data.

Algorithmic Graph Theory

Author: Alan Gibbons

Publisher: Cambridge University Press

Published: 1985-06-27

Total Pages: 280

ISBN-13: 9780521288811

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An introduction to pure and applied graph theory with an emphasis on algorithms and their complexity.

Graphs, Networks and Algorithms

Author: Dieter Jungnickel

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 597

ISBN-13: 3662038226

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Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed

Algorithmic Aspects in Information and Management

Author: Ming-Yang Kao

Publisher: Springer

Published: 2007-06-26

Total Pages: 0

ISBN-13: 9783540728702

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Algorithms and Models for the Web Graph

Author: Anthony Bonato

Publisher: Springer

Published: 2013-12-12

Total Pages: 241

ISBN-13: 3319035363

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This book constitutes the refereed proceedings of the 10th International Workshop on Algorithms and Models for the Web Graph, WAW 2013, held in Cambridge, MA, USA, in December 2013. The 17 papers presented were carefully reviewed and selected for inclusion in this volume. They address topics related to graph-theoretic and algorithmic aspects of related complex networks, including citation networks, social networks, biological networks, molecular networks and other networks arising from the Internet.

Graph Algorithms

Author: Shimon Even

Publisher: Cambridge University Press

Published: 2011-09-19

Total Pages:

ISBN-13: 1139504150

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Shimon Even's Graph Algorithms, published in 1979, was a seminal introductory book on algorithms read by everyone engaged in the field. This thoroughly revised second edition, with a foreword by Richard M. Karp and notes by Andrew V. Goldberg, continues the exceptional presentation from the first edition and explains algorithms in a formal but simple language with a direct and intuitive presentation. The book begins by covering basic material, including graphs and shortest paths, trees, depth-first-search and breadth-first search. The main part of the book is devoted to network flows and applications of network flows, and it ends with chapters on planar graphs and testing graph planarity.

Optimization Problems in Graph Theory

Author: Boris Goldengorin

Publisher: Springer

Published: 2018-09-27

Total Pages: 331

ISBN-13: 331994830X

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This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin’s fundamental contributions to advanced methods and techniques in combinatorial optimization. Researchers, students, and engineers in computer science, big data, applied mathematics, operations research, algorithm design, artificial intelligence, software engineering, data analysis, industrial and systems engineering will benefit from the state-of-the-art results presented in modern graph theory and its applications to the design of efficient algorithms for optimization problems. Topics covered in this work include: · Algorithmic aspects of problems with disjoint cycles in graphs · Graphs where maximal cliques and stable sets intersect · The maximum independent set problem with special classes · A general technique for heuristic algorithms for optimization problems · The network design problem with cut constraints · Algorithms for computing the frustration index of a signed graph · A heuristic approach for studying the patrol problem on a graph · Minimum possible sum and product of the proper connection number · Structural and algorithmic results on branchings in digraphs · Improved upper bounds for Korkel--Ghosh benchmark SPLP instances

Optimization Algorithms for Networks and Graphs

Author: James Evans

Publisher: Routledge

Published: 2017-10-19

Total Pages: 433

ISBN-13: 1351426672

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A revised and expanded advanced-undergraduate/graduate text (first ed., 1978) about optimization algorithms for problems that can be formulated on graphs and networks. This edition provides many new applications and algorithms while maintaining the classic foundations on which contemporary algorithm

Combinatorial and Algorithmic Aspects of Networking

Author: Alejandro López-Ortiz

Publisher: Springer

Published: 2005-08-25

Total Pages: 213

ISBN-13: 3540318607

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TheInternetisamassiveglobalnetworkofover700millionusersanditisadding users at the rate of 300,000 per day. This large, distributed, and everchanging network poses a challenge to researchers: How does one study, model, or und- stand such a decentralized, constantly evolving entity? Research in large-scale networks seeks to address this question, and the unique nature of these networks calls for a range of techniques from a host of disciplines. The workshop Com- natorial and Algorithmic Aspects of Networking and the Internet (CAAN 2004) provided a forum for the exchange of ideas on these topics. The primary goals of the workshop were to bring together a diverse cro- section of researchers in an already scattered and distinct community and also to provide a snapshot of the cutting-edge research in this?eld. We succeeded in these goals: among the participants were mathematicians, computer scientists in theory and algorithms, computer scientists in networks, physicists, and en- neers, as well as researchers from Europe and North America, participants from industry and academia, students, and established researchers; and among the papers were some new and surprising results as well as some introductions to the foundations of the?eld. Theworkshopprogramfeatured12peer-reviewedpapersbracketedbytwoho- longinvitedsurveytalks anopeningtalkbyAshishGoelandaclosingtalkby- dreiBroder. TopicscoveredbythetalksrangedfromtheWebgraphtogametheory tostringmatching, allinthecontextoflarge-scalenetworks. Thisvolumecollects togetherthetalksdeliveredattheworkshopalongwithanumberofsurveyarticles toroundoutthepresentationandgiveacomprehensiveintroductiontothetopic.