Analysis And Design Of Algorithms For Combinatorial Problems

Author : G. Ausiello,M. Lucertini
Publisher : Elsevier
Page : 318 pages
File Size : 55,5 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.

Author : Giorgio Ausiello,M. Lucertini
Publisher : Springer
Page : 212 pages
File Size : 40,9 Mb
Release : 2014-05-04
Category : Science
ISBN : 9783709127483

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Analysis and Design of Algorithms in Combinatorial Optimization by Giorgio Ausiello,M. Lucertini Pdf

Author : Ding-Zhu Du,Ker-I Ko,Xiaodong Hu
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 46,6 Mb
Release : 2011-11-18
Category : Mathematics
ISBN : 9781461417019

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Design and Analysis of Approximation Algorithms by Ding-Zhu Du,Ker-I Ko,Xiaodong Hu Pdf

This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also be used as a reference book for researchers in the area of design and analysis of approximation algorithms. Design and Analysis of Approximation Algorithms is a graduate course in theoretical computer science taught widely in the universities, both in the United States and abroad. There are, however, very few textbooks available for this course. Among those available in the market, most books follow a problem-oriented format; that is, they collected many important combinatorial optimization problems and their approximation algorithms, and organized them based on the types, or applications, of problems, such as geometric-type problems, algebraic-type problems, etc. Such arrangement of materials is perhaps convenient for a researcher to look for the problems and algorithms related to his/her work, but is difficult for a student to capture the ideas underlying the various algorithms. In the new book proposed here, we follow a more structured, technique-oriented presentation. We organize approximation algorithms into different chapters, based on the design techniques for the algorithms, so that the reader can study approximation algorithms of the same nature together. It helps the reader to better understand the design and analysis techniques for approximation algorithms, and also helps the teacher to present the ideas and techniques of approximation algorithms in a more unified way.

Author : Giorgio Ausiello,M. Lucertini,P. Serafini
Publisher : Springer
Page : 239 pages
File Size : 40,7 Mb
Release : 2014-05-04
Category : Computers
ISBN : 9783709143384

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Algorithm Design for Computer System Design by Giorgio Ausiello,M. Lucertini,P. Serafini Pdf

Author : Ashish Goel,Klaus Jansen,José Rolim,Ronitt Rubinfeld
Publisher : Springer
Page : 604 pages
File Size : 50,5 Mb
Release : 2008-08-28
Category : Computers
ISBN : 9783540853633

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Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by Ashish Goel,Klaus Jansen,José Rolim,Ronitt Rubinfeld Pdf

This volume contains the papers presented at the 11th International Wo- shop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX 2008) and the 12th International Workshop on Randomization and Computation (RANDOM 2008), which took place concurrently at the MIT (M- sachusetts Institute of Technology) in Boston, USA, during August 25–27, 2008. APPROX focuses on algorithmic and complexity issues surrounding the development of e?cient approximate solutions to computationally di?cult problems, and was the 11th in the series after Aalborg (1998), Berkeley (1999), Saarbru ̈cken (2000), Berkeley (2001), Rome (2002), Princeton (2003), Cambridge (2004), Berkeley (2005), Barcelona (2006), and Princeton (2007). RANDOM is concerned with applications of randomness to computational and combinatorial problems, and was the 12th workshop in the series following Bologna (1997), Barcelona (1998), Berkeley (1999), Geneva (2000), Berkeley (2001), Harvard (2002), Princeton (2003), Cambridge (2004), Berkeley (2005), Barcelona (2006), and Princeton (2007). Topics of interest for APPROX and RANDOM are: design and analysis of - proximation algorithms, hardness of approximation, small space, sub-linear time, streaming, algorithms, embeddings and metric space methods, mathematical programming methods, combinatorial problems in graphs and networks, game t- ory, markets, economic applications, geometric problems, packing, covering, scheduling, approximate learning, design and analysis of randomized algorithms, randomized complexity theory, pseudorandomness and derandomization, random combinatorial structures, random walks/Markov chains, expander graphs and randomness extractors, probabilistic proof systems, random projections and - beddings, error-correcting codes, average-case analysis, property testing, com- tational learning theory, and other applications of approximation and randomness.

Author : Klaus Jansen,Samir Khuller
Publisher : Springer
Page : 282 pages
File Size : 44,5 Mb
Release : 2003-07-31
Category : Computers
ISBN : 9783540444367

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Approximation Algorithms for Combinatorial Optimization by Klaus Jansen,Samir Khuller Pdf

This book constitutes the refereed proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2000, held in Saarbrcken, Germany in September 2000. The 22 revised full papers presented together with four invited contributions were carefully reviewed and selected from 68 submissions. The topics dealt with include design and analysis of approximation algorithms, inapproximibility results, on-line problems, randomization techniques, average-case analysis, approximation classes, scheduling problems, routing and flow problems, coloring and partitioning, cuts and connectivity, packing and covering, geometric problems, network design, and various applications.

Author : Chandra Chekuri
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 48,8 Mb
Release : 2005-08-08
Category : Computers
ISBN : 9783540282396

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Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by Chandra Chekuri Pdf

This book constitutes the joint refereed proceedings of the 8th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2005 and the 9th International Workshop on Randomization and Computation, RANDOM 2005, held in Berkeley, CA, USA in August 2005. The volume contains 41 carefully reviewed papers, selected by the two program committees from a total of 101 submissions. Among the issues addressed are design and analysis of approximation algorithms, hardness of approximation, small space and data streaming algorithms, sub-linear time algorithms, embeddings and metric space methods, mathematical programming methods, coloring and partitioning, cuts and connectivity, geometric problems, game theory and applications, network design and routing, packing and covering, scheduling, design and analysis of randomized algorithms, randomized complexity theory, pseudorandomness and derandomization, random combinatorial structures, random walks/Markov chains, expander graphs and randomness extractors, probabilistic proof systems, random projections and embeddings, error-correcting codes, average-case analysis, property testing, computational learning theory, and other applications of approximation and randomness.

Author : Boris I. Goldengorin,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 124 pages
File Size : 48,5 Mb
Release : 2012-10-10
Category : Mathematics
ISBN : 9781461452867

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Data Correcting Approaches in Combinatorial Optimization by Boris I. Goldengorin,Panos M. Pardalos Pdf

​​​​​​​​​​​​​​​​​Data Correcting Approaches in Combinatorial Optimization focuses on algorithmic applications of the well known polynomially solvable special cases of computationally intractable problems. The purpose of this text is to design practically efficient algorithms for solving wide classes of combinatorial optimization problems. Researches, students and engineers will benefit from new bounds and branching rules in development efficient branch-and-bound type computational algorithms. This book examines applications for solving the Traveling Salesman Problem and its variations, Maximum Weight Independent Set Problem, Different Classes of Allocation and Cluster Analysis as well as some classes of Scheduling Problems. Data Correcting Algorithms in Combinatorial Optimization introduces the data correcting approach to algorithms which provide an answer to the following questions: how to construct a bound to the original intractable problem and find which element of the corrected instance one should branch such that the total size of search tree will be minimized. The PC time needed for solving intractable problems will be adjusted with the requirements for solving real world problems.​

Author : I. CHANDRA MOHAN
Publisher : PHI Learning Pvt. Ltd.
Page : 199 pages
File Size : 55,9 Mb
Release : 2012-04-21
Category : Computers
ISBN : 9788120345751

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DESIGN AND ANALYSIS OF ALGORITHMS by I. CHANDRA MOHAN Pdf

This book, on Design and Analysis of Algorithms, in its second edition, presents a detailed coverage of the time complexity of algorithms. In this edition, a number of chapters have been modified and updated with new material. It discusses the various design factors that make one algorithm more efficient than others, and explains how to devise the new algorithms or modify the existing ones. The book begins with an introduction to algorithm analysis and then presents different methods and techniques—divide and conquer methods, the greedy method, search and traversal techniques, backtracking methods, branch and bound methods—used in the design of algorithms. Each algorithm that is written in this book is followed first by a detailed explanation and then is supported by worked-out examples. The book contains a number of figures to illustrate the theoretical aspects and also provides chapter-end questions to enable students to gauge their understanding of the underlying concepts. What distinguishes the text is its compactness, which has been achieved without sacrificing essential subject matter. This text is suitable for a course on “Design and Analysis of Algorithms”, which is offered to the students of B.Tech (Computer Science and Engineering) and undergraduate and postgraduate students of computer science and computer applications [BCA, MCA, B.Sc. (CS), M.Sc. (CS)] and other computer-related courses. New to this Edition : Explains in detail the time complexity of the algorithms for the problem of finding the GCD and matrix addition. Covers the analysis of Knapsack and Combinatorial Search and Optimization problems. Illustrates the “Branch-and-Bound” method with reference to the Knapsack problem. Presents the theory of NP-Completeness.

Author : Michal Mankowski,Mikhail Moshkov
Publisher : Springer Nature
Page : 213 pages
File Size : 52,9 Mb
Release : 2021-02-08
Category : Technology & Engineering
ISBN : 9783030639204

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Dynamic Programming Multi-Objective Combinatorial Optimization by Michal Mankowski,Mikhail Moshkov Pdf

This book introduces a fairly universal approach to the design and analysis of exact optimization algorithms for multi-objective combinatorial optimization problems. It proposes the circuits without repetitions representing the sets of feasible solutions along with the increasing and strictly increasing cost functions as a model for such problems. The book designs the algorithms for multi-stage and bi-criteria optimization and for counting the solutions in the framework of this model. As applications, this book studies eleven known combinatorial optimization problems: matrix chain multiplication, global sequence alignment, optimal paths in directed graphs, binary search trees, convex polygon triangulation, line breaking (text justification), one-dimensional clustering, optimal bitonic tour, segmented least squares, optimization of matchings in trees, and 0/1 knapsack problem. The results presented are useful for researchers in combinatorial optimization. This book is also useful as the basis for graduate courses.

Author : Philippe Flajolet,Robert Sedgewick
Publisher : Cambridge University Press
Page : 825 pages
File Size : 44,8 Mb
Release : 2009-01-15
Category : Mathematics
ISBN : 9781139477161

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Analytic Combinatorics by Philippe Flajolet,Robert Sedgewick Pdf

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Author : Josep Diaz
Publisher : Springer Science & Business Media
Page : 532 pages
File Size : 52,7 Mb
Release : 2006-08-11
Category : Computers
ISBN : 9783540380443

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Josep Diaz Pdf

This is the joint refereed proceedings of the 9th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2006 and the 10th International Workshop on Randomization and Computation, RANDOM 2006. The book presents 44 carefully reviewed and revised full papers. Among the topics covered are design and analysis of approximation algorithms, hardness of approximation problems, small spaces and data streaming algorithms, embeddings and metric space methods, and more.

Author : Teofilo F. Gonzalez
Publisher : CRC Press
Page : 1434 pages
File Size : 54,5 Mb
Release : 2007-05-15
Category : Computers
ISBN : 9781420010749

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Handbook of Approximation Algorithms and Metaheuristics by Teofilo F. Gonzalez Pdf

Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical applications. It is the first book to comprehensively study both approximation algorithms and metaheuristics. Starting with basic approaches, the handbook presents the methodologies to design and analyze efficient approximation algorithms for a large class of problems, and to establish inapproximability results for another class of problems. It also discusses local search, neural networks, and metaheuristics, as well as multiobjective problems, sensitivity analysis, and stability. After laying this foundation, the book applies the methodologies to classical problems in combinatorial optimization, computational geometry, and graph problems. In addition, it explores large-scale and emerging applications in networks, bioinformatics, VLSI, game theory, and data analysis. Undoubtedly sparking further developments in the field, this handbook provides the essential techniques to apply approximation algorithms and metaheuristics to a wide range of problems in computer science, operations research, computer engineering, and economics. Armed with this information, researchers can design and analyze efficient algorithms to generate near-optimal solutions for a wide range of computational intractable problems.

Author : Evripidis Bampis
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 42,8 Mb
Release : 2006-02-06
Category : Computers
ISBN : 9783540322122

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Efficient Approximation and Online Algorithms by Evripidis Bampis Pdf

This book provides a good opportunity for computer science practitioners and researchers to get in sync with current state-of-the-art and future trends in the field of combinatorial optimization and online algorithms. Recent advances in this area are presented focusing on the design of efficient approximation and on-line algorithms. One central idea in the book is to use a linear program relaxation of the problem, randomization and rounding techniques.

Author : Sanjeev Arora
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 44,8 Mb
Release : 2003-08-13
Category : Computers
ISBN : 9783540407706

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Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by Sanjeev Arora Pdf

This book constitutes the joint refereed proceedings of the 6th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2003 and of the 7th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2003, held in Princeton, NY, USA in August 2003. The 33 revised full papers presented were carefully reviewed and selected from 74 submissions. Among the issues addressed are design and analysis of randomized and approximation algorithms, online algorithms, complexity theory, combinatorial structures, error-correcting codes, pseudorandomness, derandomization, network algorithms, random walks, Markov chains, probabilistic proof systems, computational learning, randomness in cryptography, and various applications.