Graph Theory And Combinatorial Optimization

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Graph Theory and Combinatorial Optimization

David Avis,Alain Hertz,Odile Marcotte
Graph Theory and Combinatorial Optimization Book PDF

Author : David Avis,Alain Hertz,Odile Marcotte
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 52,9 Mb
Release : 2005-04-28
Category : Business & Economics
ISBN : 0387255915

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Graph Theory and Combinatorial Optimization by David Avis,Alain Hertz,Odile Marcotte Pdf

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.

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Handbook of Graph Theory Combinatorial Optimization and Algorithms Book PDF

Author : Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Publisher : CRC Press
Page : 1217 pages
File Size : 54,5 Mb
Release : 2016-01-05
Category : Computers
ISBN : 9781420011074

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Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki Pdf

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

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Krishnaiyan "kt" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Handbook of Graph Theory Combinatorial Optimization and Algorithms Book PDF

Author : Krishnaiyan "kt" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Publisher : CRC Press
Page : 1244 pages
File Size : 46,7 Mb
Release : 2020-07-02
Category : Electronic
ISBN : 0367575167

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Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by Krishnaiyan "kt" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki Pdf

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 combinatorial optimization. Divided into 11 cohesive sections, the handbook's 44 chapters focus on graph theory, combinatorial optimization, and algorithmic issues. The book provides readers with the algorithmic and theoretical foundations to: Understand phenomena as shaped by their graph structures Develop needed algorithmic and optimization tools for the study of graph structures Design and plan graph structures that lead to certain desirable behavior With contributions from more than 40 worldwide experts, this handbook equips readers with the necessary techniques and tools to solve problems in a variety of applications. Readers gain exposure to the theoretical and algorithmic foundations of a wide range of topics in graph theory and combinatorial optimization, enabling them to identify (and hence solve) problems encountered in diverse disciplines, such as electrical, communication, computer, social, transportation, biological, and other networks.

Graphs and Combinatorial Optimization: from Theory to Applications

Claudio Gentile,Giuseppe Stecca,Paolo Ventura
Graphs and Combinatorial Optimization from Theory to Applications Book PDF

Author : Claudio Gentile,Giuseppe Stecca,Paolo Ventura
Publisher : Springer Nature
Page : 408 pages
File Size : 45,9 Mb
Release : 2021-03-01
Category : Mathematics
ISBN : 9783030630720

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Graphs and Combinatorial Optimization: from Theory to Applications by Claudio Gentile,Giuseppe Stecca,Paolo Ventura Pdf

This book highlights new and original contributions on Graph Theory and Combinatorial Optimization both from the theoretical point of view and from applications in all fields. The book chapters describe models and methods based on graphs, structural properties, discrete optimization, network optimization, mixed-integer programming, heuristics, meta-heuristics, math-heuristics, and exact methods as well as applications. The book collects selected contributions from the CTW2020 international conference (18th Cologne-Twente Workshop on Graphs and Combinatorial Optimization), held online on September 14-16, 2020. The conference was organized by IASI-CNR with the contribution of University of Roma Tre, University Roma Tor Vergata, and CNRS-LIX and with the support of AIRO. It is addressed to researchers, PhD students, and practitioners in the fields of Graph Theory, Discrete Mathematics, Combinatorial Optimization, and Operations Research.

Combinatorial Optimization

Bernhard Korte,Jens Vygen
Combinatorial Optimization Book PDF

Author : Bernhard Korte,Jens Vygen
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 44,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783662217115

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Combinatorial Optimization by Bernhard Korte,Jens Vygen Pdf

This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.

Recent Advances in Algorithms and Combinatorics

Bruce A. Reed,Claudia L. Linhares-Sales
Recent Advances in Algorithms and Combinatorics Book PDF

Author : Bruce A. Reed,Claudia L. Linhares-Sales
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 44,5 Mb
Release : 2006-05-17
Category : Mathematics
ISBN : 9780387224442

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Recent Advances in Algorithms and Combinatorics by Bruce A. Reed,Claudia L. Linhares-Sales Pdf

Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research

Optimization Problems in Graph Theory

Boris Goldengorin
Optimization Problems in Graph Theory Book PDF

Author : Boris Goldengorin
Publisher : Springer
Page : 331 pages
File Size : 52,6 Mb
Release : 2018-09-27
Category : Mathematics
ISBN : 9783319948300

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Optimization Problems in Graph Theory by Boris Goldengorin Pdf

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

Combinatorial Optimization

Gerard Cornuejols
Combinatorial Optimization Book PDF

Author : Gerard Cornuejols
Publisher : SIAM
Page : 143 pages
File Size : 47,6 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 0898717108

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Combinatorial Optimization by Gerard Cornuejols Pdf

This monograph presents new and elegant proofs of classical results and makes difficult results accessible. The integer programming models known as set packing and set covering have a wide range of applications. Sometimes, owing to the special structure of the constraint matrix, the natural linear programming relaxation yields an optimal solution that is integral, thus solving the problem. Sometimes, both the linear programming relaxation and its dual have integral optimal solutions. Under which conditions do such integrality conditions hold? This question is of both theoretical and practical interest. Min-max theorems, polyhedral combinatorics, and graph theory all come together in this rich area of discrete mathematics. This monograph presents several of these beautiful results as it introduces mathematicians to this active area of research.

Graphs, Networks and Algorithms

Dieter Jungnickel
Graphs Networks and Algorithms Book PDF

Author : Dieter Jungnickel
Publisher : Springer Science & Business Media
Page : 597 pages
File Size : 40,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662038222

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Graphs, Networks and Algorithms by Dieter Jungnickel Pdf

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

Graph Theory, Combinatorics and Algorithms

Martin Charles Golumbic,Irith Ben-Arroyo Hartman
Graph Theory Combinatorics and Algorithms Book PDF

Author : Martin Charles Golumbic,Irith Ben-Arroyo Hartman
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 52,8 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9780387250366

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Graph Theory, Combinatorics and Algorithms by Martin Charles Golumbic,Irith Ben-Arroyo Hartman Pdf

Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.

Combinatorial Optimization and Graph Algorithms

Takuro Fukunaga,Ken-ichi Kawarabayashi
Combinatorial Optimization and Graph Algorithms Book PDF

Author : Takuro Fukunaga,Ken-ichi Kawarabayashi
Publisher : Springer
Page : 120 pages
File Size : 50,9 Mb
Release : 2017-10-02
Category : Computers
ISBN : 9789811061479

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Combinatorial Optimization and Graph Algorithms by Takuro Fukunaga,Ken-ichi Kawarabayashi Pdf

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.

Combinatorial Optimization and Applications

T-H. Hubert Chan,Minming Li,Lusheng Wang
Combinatorial Optimization and Applications Book PDF

Author : T-H. Hubert Chan,Minming Li,Lusheng Wang
Publisher : Springer
Page : 793 pages
File Size : 52,9 Mb
Release : 2016-11-30
Category : Computers
ISBN : 9783319487496

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Combinatorial Optimization and Applications by T-H. Hubert Chan,Minming Li,Lusheng Wang Pdf

This book constitutes the refereed proceedings of the 10th International Conference on Combinatorial Optimization and Applications, COCOA 2016, held in Hong Kong, China, in December 2016. The 60 full papers included in the book were carefully reviewed and selected from 122 submissions. The papers are organized in topical sections such as graph theory, geometric optimization, complexity and data structure, combinatorial optimization, and miscellaneous.

Analysis and Design of Algorithms for Combinatorial Problems

G. Ausiello,M. Lucertini
Analysis and Design of Algorithms for Combinatorial Problems Book PDF

Author : G. Ausiello,M. Lucertini
Publisher : Elsevier
Page : 318 pages
File Size : 50,5 Mb
Release : 1985-05-01
Category : Mathematics
ISBN : 0080872204

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Analysis and Design of Algorithms for Combinatorial Problems by G. Ausiello,M. Lucertini Pdf

Combinatorial problems have been from the very beginning part of the history of mathematics. By the Sixties, the main classes of combinatorial problems had been defined. During that decade, a great number of research contributions in graph theory had been produced, which laid the foundations for most of the research in graph optimization in the following years. During the Seventies, a large number of special purpose models were developed. The impressive growth of this field since has been strongly determined by the demand of applications and influenced by the technological increases in computing power and the availability of data and software. The availability of such basic tools has led to the feasibility of the exact or well approximate solution of large scale realistic combinatorial optimization problems and has created a number of new combinatorial problems.

Combinatorial Optimization

Christos H. Papadimitriou,Kenneth Steiglitz
Combinatorial Optimization Book PDF

Author : Christos H. Papadimitriou,Kenneth Steiglitz
Publisher : Courier Corporation
Page : 528 pages
File Size : 42,7 Mb
Release : 2013-04-26
Category : Mathematics
ISBN : 9780486320137

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Combinatorial Optimization by Christos H. Papadimitriou,Kenneth Steiglitz Pdf

This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.

Gems of Combinatorial Optimization and Graph Algorithms

Andreas S. Schulz,Martin Skutella,Sebastian Stiller,Dorothea Wagner
Gems of Combinatorial Optimization and Graph Algorithms Book PDF

Author : Andreas S. Schulz,Martin Skutella,Sebastian Stiller,Dorothea Wagner
Publisher : Springer
Page : 150 pages
File Size : 50,9 Mb
Release : 2016-01-31
Category : Business & Economics
ISBN : 9783319249711

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Gems of Combinatorial Optimization and Graph Algorithms by Andreas S. Schulz,Martin Skutella,Sebastian Stiller,Dorothea Wagner Pdf

Are you looking for new lectures for your course on algorithms, combinatorial optimization, or algorithmic game theory? Maybe you need a convenient source of relevant, current topics for a graduate student or advanced undergraduate student seminar? Or perhaps you just want an enjoyable look at some beautiful mathematical and algorithmic results, ideas, proofs, concepts, and techniques in discrete mathematics and theoretical computer science? Gems of Combinatorial Optimization and Graph Algorithms is a handpicked collection of up-to-date articles, carefully prepared by a select group of international experts, who have contributed some of their most mathematically or algorithmically elegant ideas. Topics include longest tours and Steiner trees in geometric spaces, cartograms, resource buying games, congestion games, selfish routing, revenue equivalence and shortest paths, scheduling, linear structures in graphs, contraction hierarchies, budgeted matching problems, and motifs in networks. This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.