Optimization Problems In Graph Theory

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Optimization Problems in Graph Theory

Author : Boris Goldengorin
Publisher : Springer
ISBN 13 : 331994830X
Total Pages : 341 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Optimization Problems in Graph Theory by : Boris Goldengorin

Download or read book Optimization Problems in Graph Theory written by Boris Goldengorin and published by Springer. This book was released on 2018-09-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Graph Theory and Combinatorial Optimization

Author : David Avis
Publisher : Springer Science & Business Media
ISBN 13 : 9780387255910
Total Pages : 286 pages
Book Rating : 4.2/5 (559 download)

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Book Synopsis Graph Theory and Combinatorial Optimization by : David Avis

Download or read book Graph Theory and Combinatorial Optimization written by David Avis and published by Springer Science & Business Media. This book was released on 2005-04-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem. Graph Theory and Combinatorial Optimization explores the field's classical foundations and its developing theories, ideas and applications to new problems. The book examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application. The field's leading researchers have contributed chapters in their areas of expertise.

Graphs, Algorithms, and Optimization

Author : William Kocay
Publisher : CRC Press
ISBN 13 : 135198912X
Total Pages : 504 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Graphs, Algorithms, and Optimization by : William Kocay

Download or read book Graphs, Algorithms, and Optimization written by William Kocay and published by CRC Press. This book was released on 2017-09-20 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory offers a rich source of problems and techniques for programming and data structure development, as well as for understanding computing theory, including NP-Completeness and polynomial reduction. A comprehensive text, Graphs, Algorithms, and Optimization features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. The book covers major areas of graph theory including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently. The book also provides coverage on algorithm complexity and efficiency, NP-completeness, linear optimization, and linear programming and its relationship to graph algorithms. Written in an accessible and informal style, this work covers nearly all areas of graph theory. Graphs, Algorithms, and Optimization provides a modern discussion of graph theory applicable to mathematics, computer science, and crossover applications.

Graphs, Algorithms, and Optimization, Second Edition

Author : William Kocay
Publisher : CRC Press
ISBN 13 : 1482251256
Total Pages : 430 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Graphs, Algorithms, and Optimization, Second Edition by : William Kocay

Download or read book Graphs, Algorithms, and Optimization, Second Edition written by William Kocay and published by CRC Press. This book was released on 2016-11-03 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs. ?

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Author : Krishnaiyan "KT" Thulasiraman
Publisher : CRC Press
ISBN 13 : 1420011073
Total Pages : 1217 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by : Krishnaiyan "KT" Thulasiraman

Download or read book Handbook of Graph Theory, Combinatorial Optimization, and Algorithms written by Krishnaiyan "KT" Thulasiraman and published by CRC Press. This book was released on 2016-01-05 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Applied Discrete Structures

Author : Ken Levasseur
Publisher : Lulu.com
ISBN 13 : 1105559297
Total Pages : 574 pages
Book Rating : 4.1/5 (55 download)

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Book Synopsis Applied Discrete Structures by : Ken Levasseur

Download or read book Applied Discrete Structures written by Ken Levasseur and published by Lulu.com. This book was released on 2012-02-25 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

A Java Library of Graph Algorithms and Optimization

Author : Hang T. Lau
Publisher : CRC Press
ISBN 13 : 1584887192
Total Pages : 401 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis A Java Library of Graph Algorithms and Optimization by : Hang T. Lau

Download or read book A Java Library of Graph Algorithms and Optimization written by Hang T. Lau and published by CRC Press. This book was released on 2006-10-20 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph Algorithms and Optimization provides the source code for

Spanning Trees and Optimization Problems

Author : Bang Ye Wu
Publisher : CRC Press
ISBN 13 : 0203497287
Total Pages : 200 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Spanning Trees and Optimization Problems by : Bang Ye Wu

Download or read book Spanning Trees and Optimization Problems written by Bang Ye Wu and published by CRC Press. This book was released on 2004-01-27 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design of approximation algorithms for spanning tree problems has become an exciting and important area of theoretical computer science and also plays a significant role in emerging fields such as biological sequence alignments and evolutionary tree construction. While work in this field remains quite active, the time has come to collect under

Graph Theory: Binary Optimization

Author : N.B. Singh
Publisher : N.B. Singh
ISBN 13 :
Total Pages : 159 pages
Book Rating : 4./5 ( download)

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Book Synopsis Graph Theory: Binary Optimization by : N.B. Singh

Download or read book Graph Theory: Binary Optimization written by N.B. Singh and published by N.B. Singh. This book was released on with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Graph Theory: Binary Optimization" introduces fundamental graph theory concepts and their practical applications in binary optimization. This beginner-friendly book explains how graphs model real-world problems like network design and scheduling, equipping readers with essential skills in optimization techniques.

Graphs, Algorithms, and Optimization

Author : William Kocay
Publisher : CRC Press
ISBN 13 : 1482251183
Total Pages : 566 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Graphs, Algorithms, and Optimization by : William Kocay

Download or read book Graphs, Algorithms, and Optimization written by William Kocay and published by CRC Press. This book was released on 2016-11-03 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs.

Problems in Combinatorics and Graph Theory

Author : Ioan Tomescu
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Problems in Combinatorics and Graph Theory by : Ioan Tomescu

Download or read book Problems in Combinatorics and Graph Theory written by Ioan Tomescu and published by Wiley-Interscience. This book was released on 1985-04-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the most important combinatorial structures and techniques. This is a book of problems and solutions which range in difficulty and scope from the elementary/student-oriented to open questions at the research level. Each problem is accompanied by a complete and detailed solution together with appropriate references to the mathematical literature, helping the reader not only to learn but to apply the relevant discrete methods. The text is unique in its range and variety -- some problems include straightforward manipulations while others are more complicated and require insights and a solid foundation of combinatorics and/or graph theory. Includes a dictionary of terms that makes many of the challenging problems accessible to those whose mathematical education is limited to highschool algebra.

Applied Graph Theory: An Introduction With Graph Optimization And Algebraic Graph Theory

Author : Christopher H Griffin
Publisher : World Scientific
ISBN 13 : 981127312X
Total Pages : 305 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Applied Graph Theory: An Introduction With Graph Optimization And Algebraic Graph Theory by : Christopher H Griffin

Download or read book Applied Graph Theory: An Introduction With Graph Optimization And Algebraic Graph Theory written by Christopher H Griffin and published by World Scientific. This book was released on 2023-08-08 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as an introduction to graph theory and its applications. It is intended for a senior undergraduate course in graph theory but is also appropriate for beginning graduate students in science or engineering. The book presents a rigorous (proof-based) introduction to graph theory while also discussing applications of the results for solving real-world problems of interest. The book is divided into four parts. Part 1 covers the combinatorial aspects of graph theory including a discussion of common vocabulary, a discussion of vertex and edge cuts, Eulerian tours, Hamiltonian paths and a characterization of trees. This leads to Part 2, which discusses common combinatorial optimization problems. Spanning trees, shortest path problems and matroids are all discussed, as are maximum flow problems. Part 2 ends with a discussion of graph coloring and a proof of the NP-completeness of the coloring problem. Part 3 introduces the reader to algebraic graph theory, and focuses on Markov chains, centrality computation (e.g., eigenvector centrality and page rank), as well as spectral graph clustering and the graph Laplacian. Part 4 contains additional material on linear programming, which is used to provide an alternative analysis of the maximum flow problem. Two appendices containing prerequisite material on linear algebra and probability theory are also provided.

Combinatorial Optimization and Graph Algorithms

Author : Takuro Fukunaga
Publisher : Springer
ISBN 13 : 9811061475
Total Pages : 126 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Combinatorial Optimization and Graph Algorithms by : Takuro Fukunaga

Download or read book Combinatorial Optimization and Graph Algorithms written by Takuro Fukunaga and published by Springer. This book was released on 2017-10-02 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering network designs, discrete convex analysis, facility location and clustering problems, matching games, and parameterized complexity, this book discusses theoretical aspects of combinatorial optimization and graph algorithms. Contributions are by renowned researchers who attended NII Shonan meetings on this essential topic. The collection contained here provides readers with the outcome of the authors’ research and productive meetings on this dynamic area, ranging from computer science and mathematics to operations research. Networks are ubiquitous in today's world: the Web, online social networks, and search-and-query click logs can lead to a graph that consists of vertices and edges. Such networks are growing so fast that it is essential to design algorithms to work for these large networks. Graph algorithms comprise an area in computer science that works to design efficient algorithms for networks. Here one can work on theoretical or practical problems where implementation of an algorithm for large networks is needed. In two of the chapters, recent results in graph matching games and fixed parameter tractability are surveyed. Combinatorial optimization is an intersection of operations research and mathematics, especially discrete mathematics, which deals with new questions and new problems, attempting to find an optimum object from a finite set of objects. Most problems in combinatorial optimization are not tractable (i.e., NP-hard). Therefore it is necessary to design an approximation algorithm for them. To tackle these problems requires the development and combination of ideas and techniques from diverse mathematical areas including complexity theory, algorithm theory, and matroids as well as graph theory, combinatorics, convex and nonlinear optimization, and discrete and convex geometry. Overall, the book presents recent progress in facility location, network design, and discrete convex analysis.

Genetic Algorithms And The Optimization Problems In Graph Theory

Author : Milena Bogdanovic
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659353291
Total Pages : 72 pages
Book Rating : 4.3/5 (532 download)

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Book Synopsis Genetic Algorithms And The Optimization Problems In Graph Theory by : Milena Bogdanovic

Download or read book Genetic Algorithms And The Optimization Problems In Graph Theory written by Milena Bogdanovic and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory, as modern and young branches of mathematics, studies graphs which are abstract mathematical objects. The use of graph models for description or data structures is very common. Investigation of algorithms to solve problems using graph, is a very important part of computer science. The genetic algorithms represent a family of algorithms using some of genetic principles being present in nature, in order to solve particular computational problems. These natural principles are: inheritance, crossover, mutation, survival of the fittest, migrations and so on. The problems degree-limited graph of nodes considering the weight of the vertex or weight of the edges, with the aim to find the optimal weighted graph in terms of certain restrictions on the degree of the vertices in the subgraph. This class of combinatorial problems was extensively studied because of the implementation and application in network design, connection of networks and routing algorithms. It is likely that solution of MDBCS problem will find its place and application in these areas.

Graph-related Optimization and Decision Support Systems

Author : Saoussen Krichen
Publisher : John Wiley & Sons
ISBN 13 : 1118984242
Total Pages : 149 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Graph-related Optimization and Decision Support Systems by : Saoussen Krichen

Download or read book Graph-related Optimization and Decision Support Systems written by Saoussen Krichen and published by John Wiley & Sons. This book was released on 2014-09-10 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constrained optimization is a challenging branch of operations research that aims to create a model which has a wide range of applications in the supply chain, telecommunications and medical fields. As the problem structure is split into two main components, the objective is to accomplish the feasible set framed by the system constraints. The aim of this book is expose optimization problems that can be expressed as graphs, by detailing, for each studied problem, the set of nodes and the set of edges. This graph modeling is an incentive for designing a platform that integrates all optimization components in order to output the best solution regarding the parameters' tuning. The authors propose in their analysis, for optimization problems, to provide their graphical modeling and mathematical formulation and expose some of their variants. As a solution approaches, an optimizer can be the most promising direction for limited-size instances. For large problem instances, approximate algorithms are the most appropriate way for generating high quality solutions. The authors thus propose, for each studied problem, a greedy algorithm as a problem-specific heuristic and a genetic algorithm as a metaheuristic.

Optimization Algorithms for Networks and Graphs, Second Edition,

Author : James Evans
Publisher : CRC Press
ISBN 13 : 9780824786021
Total Pages : 486 pages
Book Rating : 4.7/5 (86 download)

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Book Synopsis Optimization Algorithms for Networks and Graphs, Second Edition, by : James Evans

Download or read book Optimization Algorithms for Networks and Graphs, Second Edition, written by James Evans and published by CRC Press. This book was released on 1992-03-25 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Discrete Optimization

Author : E. Boros
Publisher : Elsevier
ISBN 13 : 008093028X
Total Pages : 587 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Discrete Optimization by : E. Boros

Download or read book Discrete Optimization written by E. Boros and published by Elsevier. This book was released on 2003-03-19 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most frequently occurring types of optimization problems involves decision variables which have to take integer values. From a practical point of view, such problems occur in countless areas of management, engineering, administration, etc., and include such problems as location of plants or warehouses, scheduling of aircraft, cutting raw materials to prescribed dimensions, design of computer chips, increasing reliability or capacity of networks, etc. This is the class of problems known in the professional literature as "discrete optimization" problems. While these problems are of enormous applicability, they present many challenges from a computational point of view. This volume is an update on the impressive progress achieved by mathematicians, operations researchers, and computer scientists in solving discrete optimization problems of very large sizes. The surveys in this volume present a comprehensive overview of the state of the art in discrete optimization and are written by the most prominent researchers from all over the world. This volume describes the tremendous progress in discrete optimization achieved in the last 20 years since the publication of Discrete Optimization '77, Annals of Discrete Mathematics, volumes 4 and 5, 1979 (Elsevier). It contains surveys of the state of the art written by the most prominent researchers in the field from all over the world, and covers topics like neighborhood search techniques, lift and project for mixed 0-1 programming, pseudo-Boolean optimization, scheduling and assignment problems, production planning, location, bin packing, cutting planes, vehicle routing, and applications to graph theory, mechanics, chip design, etc. Key features: • state of the art surveys • comprehensiveness • prominent authors • theoretical, computational and applied aspects. This book is a reprint of Discrete Applied Mathematics Volume 23, Numbers 1-3