Combinatorial Algorithms

Author : Donald L. Kreher
Publisher : CRC Press
ISBN 13 : 1000141373
Total Pages : 346 pages
Book Rating : 4.75/5 ( download)

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Download or read book Combinatorial Algorithms written by Donald L. Kreher and published by CRC Press. This book was released on 2020-09-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Author : Martin Grötschel
Publisher : Springer Science & Business Media
ISBN 13 : 3642978819
Total Pages : 374 pages
Book Rating : 4.14/5 ( download)

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Download or read book Geometric Algorithms and Combinatorial Optimization written by Martin Grötschel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, there is a close connection between geometry and optImization. This is illustrated by methods like the gradient method and the simplex method, which are associated with clear geometric pictures. In combinatorial optimization, however, many of the strongest and most frequently used algorithms are based on the discrete structure of the problems: the greedy algorithm, shortest path and alternating path methods, branch-and-bound, etc. In the last several years geometric methods, in particular polyhedral combinatorics, have played a more and more profound role in combinatorial optimization as well. Our book discusses two recent geometric algorithms that have turned out to have particularly interesting consequences in combinatorial optimization, at least from a theoretical point of view. These algorithms are able to utilize the rich body of results in polyhedral combinatorics. The first of these algorithms is the ellipsoid method, developed for nonlinear programming by N. Z. Shor, D. B. Yudin, and A. S. NemirovskiI. It was a great surprise when L. G. Khachiyan showed that this method can be adapted to solve linear programs in polynomial time, thus solving an important open theoretical problem. While the ellipsoid method has not proved to be competitive with the simplex method in practice, it does have some features which make it particularly suited for the purposes of combinatorial optimization. The second algorithm we discuss finds its roots in the classical "geometry of numbers", developed by Minkowski. This method has had traditionally deep applications in number theory, in particular in diophantine approximation.

Author : Edward M. Reingold
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.34/5 ( download)

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Download or read book Combinatorial Algorithms written by Edward M. Reingold and published by Prentice Hall. This book was released on 1977 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bernhard Korte
Publisher : Springer Science & Business Media
ISBN 13 : 3540292977
Total Pages : 596 pages
Book Rating : 4.75/5 ( download)

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Download or read book Combinatorial Optimization written by Bernhard Korte and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3322921069
Total Pages : 715 pages
Book Rating : 4.62/5 ( download)

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Download or read book Combinatorial Algorithms for Integrated Circuit Layout written by and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has brought explosive growth in the technology for manufac turing integrated circuits. Integrated circuits with several hundred thousand transistors are now commonplace. This manufacturing capability, combined with the economic benefits of large electronic systems, is forcing a revolution in the design of these systems and providing a challenge to those people in terested in integrated system design. Modern circuits are too complex for an individual to comprehend completely. Managing tremendous complexity and automating the design process have become crucial issues. Two groups are interested in dealing with complexity and in developing algorithms to automate the design process. One group is composed of practi tioners in computer-aided design (CAD) who develop computer programs to aid the circuit-design process. The second group is made up of computer scientists and mathemati'::~l\ns who are interested in the design and analysis of efficient combinatorial aJ::,orithms. These two groups have developed separate bodies of literature and, until recently, have had relatively little interaction. An obstacle to bringing these two groups together is the lack of books that discuss issues of importance to both groups in the same context. There are many instances when a familiarity with the literature of the other group would be beneficial. Some practitioners could use known theoretical results to improve their "cut and try" heuristics. In other cases, theoreticians have published impractical or highly abstracted toy formulations, thinking that the latter are important for circuit layout.

Author : Luděk Kučera
Publisher : CRC Press
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.01/5 ( download)

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Download or read book Combinatorial Algorithms, written by Luděk Kučera and published by CRC Press. This book was released on 1991 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial Algorithms is devoted to the solution of problems presented by the theory of graphs. This area of problems has been growing dramatically. Until now, the majority of results could only be found in specialized journals, technical reports and conference proceedings. Here for the first time, the subject is dealt with in a systematic manner in one book. Although directed primarily to students of computer science, it will also be useful to programmers and other workers in the area of computers.

Author : Eugene Lawler
Publisher : Courier Corporation
ISBN 13 : 048614366X
Total Pages : 400 pages
Book Rating : 4.68/5 ( download)

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Download or read book Combinatorial Optimization written by Eugene Lawler and published by Courier Corporation. This book was released on 2012-10-16 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : T. C. Hu
Publisher : Courier Corporation
ISBN 13 : 0486152944
Total Pages : 368 pages
Book Rating : 4.43/5 ( download)

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Download or read book Combinatorial Algorithms written by T. C. Hu and published by Courier Corporation. This book was released on 2012-04-26 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition presents algorithms for shortest paths, maximum flows, dynamic programming and backtracking. Also discusses binary trees, heuristic and near optimums, matrix multiplication, and NP-complete problems. Includes 153 black-and-white illustrations and 23 tables.

Author : Paola Flocchini
Publisher : Springer Nature
ISBN 13 : 3030799875
Total Pages : 588 pages
Book Rating : 4.78/5 ( download)

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Download or read book Combinatorial Algorithms written by Paola Flocchini and published by Springer Nature. This book was released on 2021-06-30 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 32nd International Workshop on Combinatorial Algorithms which was planned to take place in Ottawa, ON, Canada, in July 2021. Due to the COVID-19 pandemic the conference changed to a virtual format. The 38 full papers included in this book together with 2 invited talks were carefully reviewed and selected from 107 submissions. They focus on algorithms design for the myriad of combinatorial problems that underlie computer applications in science, engineering and business. Chapter “Minimum Eccentricity Shortest Path Problem with Respect to Structural Parameters” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Alexander Schrijver
Publisher : Springer Science & Business Media
ISBN 13 : 9783540443896
Total Pages : 2024 pages
Book Rating : 4.94/5 ( download)

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Download or read book Combinatorial Optimization written by Alexander Schrijver and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 2024 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum