Algorithmic Aspects of Graph Connectivity

Algorithmic Aspects of Graph Connectivity
Author: Hiroshi Nagamochi
Publisher: Cambridge University Press
Total Pages: 391
Release: 2019-05-16
Genre: Computers
ISBN: 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

Algorithmic Aspects in Information and Management
Author: Ming-Yang Kao
Publisher: Springer
Total Pages: 439
Release: 2007-06-26
Genre: Computers
ISBN: 3540728708

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.

Graphs, Networks and Algorithms

Graphs, Networks and Algorithms
Author: Dieter Jungnickel
Publisher: Springer Science & Business Media
Total Pages: 597
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662038226

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

Algorithmic Graph Theory

Algorithmic Graph Theory
Author: Alan Gibbons
Publisher: Cambridge University Press
Total Pages: 280
Release: 1985-06-27
Genre: Computers
ISBN: 9780521288811

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

Algorithmic Aspects in Information and Management

Algorithmic Aspects in Information and Management
Author: Ming-Yang Kao
Publisher: Springer
Total Pages: 0
Release: 2007-06-26
Genre: Computers
ISBN: 9783540728702

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.

Graph Algorithms

Graph Algorithms
Author: Shimon Even
Publisher: Cambridge University Press
Total Pages:
Release: 2011-09-19
Genre: Computers
ISBN: 1139504150

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

Optimization Problems in Graph Theory
Author: Boris Goldengorin
Publisher: Springer
Total Pages: 341
Release: 2018-09-27
Genre: Mathematics
ISBN: 331994830X

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

Algorithms and Models for the Web Graph

Algorithms and Models for the Web Graph
Author: Anthony Bonato
Publisher: Springer
Total Pages: 241
Release: 2013-12-12
Genre: Computers
ISBN: 3319035363

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.

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms
Author: Krishnaiyan "KT" Thulasiraman
Publisher: CRC Press
Total Pages: 1217
Release: 2016-01-05
Genre: Computers
ISBN: 1420011073

The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c

Optimization Algorithms for Networks and Graphs

Optimization Algorithms for Networks and Graphs
Author: James Evans
Publisher: Routledge
Total Pages: 486
Release: 2017-10-19
Genre: Mathematics
ISBN: 1351426672

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