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Approximation Algorithms Vijay V. Vazirani

Approximation Algorithms By Vijay V. Vazirani

Approximation Algorithms by Vijay V. Vazirani

Reviews:
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Summary

Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field.

Approximation Algorithms Summary

Approximation Algorithms by Vijay V. Vazirani

Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Approximation Algorithms Reviews

From the reviews:

Approximation algorithms is an area where much progress has been made in the last 10 years. The book under review is a very good help for understanding these results. In each of the 27 chapters an important combinatorial optimization problem is presented and one or more approximation algorithms for it are clearly and concisely described and analyzed. In this way most of the most important results from the approximation algorithm literature are covered, often more easily comprehensible than the original articles. (Viggo Kann, Zentralblatt MATH, Vol. 1005, 2003)

The book under review concentrates on the ... design and analysis of efficient approximation algorithms with good performance guarantees. It is possibly the first textbook to provide an extensive and systematic coverage of this topic. ... The book starts briskly, using simple examples to illustrate some of the key concepts and draw the reader rapidly in. ... Copious exercises are included to test and deepen the reader's understanding. ... It deserves a place in every computer science and mathematical library. (Mark R. Jerrum, Mathematical Reviews, 2002 h)

The book of Vijay Vazirani is not the first one dedicated to approximation algorithms ... . However it is, I believe, among the very best from a didactical point of view: this is the text I would chose, would I have to give a course on approximation algorithms ... . I suspect that for many researchers it would be the first one to consult ... . It is a must acquisition for libraries of computer science/engineering departments ... . (Francesco Maffioli, Mathematical Methods of Operations Research, Vol. 56 (2), 2002)

The book gives an overview on the theory of approximation algorithms. It presents the most important problems, the basic methods and ideas which are used in this area. ... The book can be used for a graduate course on approximation algorithms. ... The chapters also contain a section of exercises, which can help the students to understand the material in a deeper way. ... On the other hand the book can be used by the researchers of the field ... . (Csanad Imreh, Acta Scientiarum Mathematicarum, Vol. 68, 2002)

Table of Contents

1 Introduction.- I. Combinatorial Algorithms.- 2 Set Cover.- 3 Steiner Tree and TSP.- 4 Multiway Cut and k-Cut.- 5 k-Center.- 6 Feedback Vertex Set.- 7 Shortest Superstring.- 8 Knapsack.- 9 Bin Packing.- 10 Minimum Makespan Scheduling.- 11 Euclidean TSP.- II. LP-Based Algorithms.- 12 Introduction to LP-Duality.- 13 Set Cover via Dual Fitting.- 14 Rounding Applied to Set Cover.- 15 Set Cover via the Primal-Dual Schema.- 16 Maximum Satisfiability.- 17 Scheduling on Unrelated Parallel Machines.- 18 Multicut and Integer Multicommodity Flow in Trees.- 19 Multiway Cut.- 20 Multicut in General Graphs.- 21 Sparsest Cut.- 22 Steiner Forest.- 23 Steiner Network.- 24 Facility Location.- 25 k-Median.- 26 Semidefinite Programming.- III. Other Topics.- 27 Shortest Vector.- 28 Counting Problems.- 29 Hardness of Approximation.- 30 Open Problems.- A An Overview of Complexity Theory for the Algorithm Designer.- A.3.1 Approximation factor preserving reductions.- A.4 Randomized complexity classes.- A.5 Self-reducibility.- A.6 Notes.- B Basic Facts from Probability Theory.- B.1 Expectation and moments.- B.2 Deviations from the mean.- B.3 Basic distributions.- B.4 Notes.- References.- Problem Index.

Additional information

NPB9783540653677
9783540653677
3540653678
Approximation Algorithms by Vijay V. Vazirani
Vijay V. Vazirani
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
20021205
380
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Approximation Algorithms