A First Course In Combinatorial Optimization
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A First Course In Combinatorial Optimization
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Author : Jon Lee
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-09
A First Course In Combinatorial Optimization written by Jon Lee and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-09 with Business & Economics categories.
A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.
Combinatorial Optimization
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Author : A. Subramanian
language : en
Publisher: Alpha Science International Limited
Release Date : 2006-04-01
Combinatorial Optimization written by A. Subramanian and has been published by Alpha Science International Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-01 with Technology & Engineering categories.
'Combinatorial Optimization' is designed for a one term introductory graduate-level course for students of operations research, mathematics & computer science. In a self-contained treatment requiring only some mathematical maturity, the topics covered include: linear & integer programming, polytopes, & network flows.
A First Course In Operations Research
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Author : Giuseppe Lancia
language : en
Publisher:
Release Date : 2019-09-27
A First Course In Operations Research written by Giuseppe Lancia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-27 with categories.
The book is intended for a first course on Operations Research at the Graduate Level for students of computer science, engineering or scientific disciplines in general. The book is based on the lecture notes of the course taught at the University of Udine to master students in CS. A good part of the text is devoted to formulating mathematical models for combinatorial optimization problems, by stating them as integer linear programs. The theory of Linear Programming and Integer Programming is desribed at an introductory level. The secon part of the course deals with optimization problems on graphs, such as minimum spanning trees, shortest paths and maximum flows. The book contains appendices on Graph Theory, Computational Complexity and Linear Algebra.
Catbox
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Author : Winfried Hochstättler
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-16
Catbox written by Winfried Hochstättler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-16 with Mathematics categories.
Graph algorithms are easy to visualize and indeed there already exists a variety of packages to animate the dynamics when solving problems from graph theory. Still it can be difficult to understand the ideas behind the algorithm from the dynamic display alone. CATBox consists of a software system for animating graph algorithms and a course book which we developed simultaneously. The software system presents both the algorithm and the graph and puts the user always in control of the actual code that is executed. In the course book, intended for readers at advanced undergraduate or graduate level, computer exercises and examples replace the usual static pictures of algorithm dynamics. For this volume we have chosen solely algorithms for classical problems from combinatorial optimization, such as minimum spanning trees, shortest paths, maximum flows, minimum cost flows, weighted and unweighted matchings both for bipartite and non-bipartite graphs. Find more information at http://schliep.org/CATBox/.
A First Course In Operations Research
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Author : Giuseppe Lancia
language : en
Publisher:
Release Date : 2020-09-07
A First Course In Operations Research written by Giuseppe Lancia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-07 with categories.
This book is intended for a first course on Operations Research at the Graduate Level for students of computer science, engineering or scientific disciplines in general. The book is based on the lecture notes of the course taught at the University of Udine to graduate CS students. A good part of the text is devoted to formulating mathematical models for combinatorial optimization problems, by stating them as integer linear programs. The theory of Linear Programming and Integer Programming is desribed at an introductory level. The second part of the course deals with optimization problems on graphs, such as minimum spanning trees, shortest paths and maximum flows, for which linear programming models as well as combinatorial algorithms are described. The book contains appendices on Graph Theory, Computational Complexity and Linear Algebra.
Combinatorial Optimization
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Author : Bernhard Korte
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-27
Combinatorial Optimization written by Bernhard Korte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-27 with Mathematics categories.
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.
Introduction To Combinatorial Optimization
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Author : Ding-Zhu Du
language : en
Publisher: Springer Nature
Release Date : 2022-09-26
Introduction To Combinatorial Optimization written by Ding-Zhu Du and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-26 with Mathematics categories.
Introductory courses in combinatorial optimization are popular at the upper undergraduate/graduate levels in computer science, industrial engineering, and business management/OR, owed to its wide applications in these fields. There are several published textbooks that treat this course and the authors have used many of them in their own teaching experiences. This present text fills a gap and is organized with a stress on methodology and relevant content, providing a step-by-step approach for the student to become proficient in solving combinatorial optimization problems. Applications and problems are considered via recent technology developments including wireless communication, cloud computing, social networks, and machine learning, to name several, and the reader is led to the frontiers of combinatorial optimization. Each chapter presents common problems, such as minimum spanning tree, shortest path, maximum matching, network flow, set-cover, as well as key algorithms, such as greedy algorithm, dynamic programming, augmenting path, and divide-and-conquer. Historical notes, ample exercises in every chapter, strategically placed graphics, and an extensive bibliography are amongst the gems of this textbook.
Iterative Methods In Combinatorial Optimization
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Author : Lap Chi Lau
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-18
Iterative Methods In Combinatorial Optimization written by Lap Chi Lau and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-18 with Computers categories.
With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.
Combinatorial Optimization
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Author : William J. Cook
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-30
Combinatorial Optimization written by William J. Cook and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-30 with Mathematics categories.
A complete, highly accessible introduction to one of today's most exciting areas of applied mathematics One of the youngest, most vital areas of applied mathematics, combinatorial optimization integrates techniques from combinatorics, linear programming, and the theory of algorithms. Because of its success in solving difficult problems in areas from telecommunications to VLSI, from product distribution to airline crew scheduling, the field has seen a ground swell of activity over the past decade. Combinatorial Optimization is an ideal introduction to this mathematical discipline for advanced undergraduates and graduate students of discrete mathematics, computer science, and operations research. Written by a team of recognized experts, the text offers a thorough, highly accessible treatment of both classical concepts and recent results. The topics include: * Network flow problems * Optimal matching * Integrality of polyhedra * Matroids * NP-completeness Featuring logical and consistent exposition, clear explanations of basic and advanced concepts, many real-world examples, and helpful, skill-building exercises, Combinatorial Optimization is certain to become the standard text in the field for many years to come.
Combinatorial Optimization
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Author : Eugene Lawler
language : en
Publisher: Courier Corporation
Release Date : 2012-10-16
Combinatorial Optimization written by Eugene Lawler and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-16 with Mathematics categories.
Perceptive text examines shortest paths, network flows, bipartite and nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. Suitable for courses in combinatorial computing and concrete computational complexity.