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A Guide to Algorithm Design: Paradigms, Methods, and Complexity Analysis

Anne Benoit 1, 2 yves Robert 1, 2 Frédéric Vivien 1, 2 
Abstract : Presenting a complementary perspective to standard books on algorithms, A Guide to Algorithm Design: Paradigms, Methods, and Complexity Analysis provides a roadmap for readers to determine the difficulty of an algorithmic problem by finding an optimal solution or proving complexity results. It gives a practical treatment of algorithmic complexity and guides readers in solving algorithmic problems. Divided into three parts, the book offers a comprehensive set of problems with solutions as well as in-depth case studies that demonstrate how to assess the complexity of a new problem. Part I helps readers understand the main design principles and design efficient algorithms. Part II covers polynomial reductions from NP-complete problems and approaches that go beyond NP-completeness. Part III supplies readers with tools and techniques to evaluate problem complexity, including how to determine which instances are polynomial and which are NP-hard. Drawing on the authors' classroom-tested material, this text takes readers step by step through the concepts and methods for analyzing algorithmic complexity. Through many problems and detailed examples, readers can investigate polynomial-time algorithms and NP-completeness and beyond.
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Submitted on : Saturday, November 23, 2013 - 3:04:47 AM
Last modification on : Monday, May 16, 2022 - 4:46:01 PM
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  • HAL Id : hal-00908448, version 1



Anne Benoit, yves Robert, Frédéric Vivien. A Guide to Algorithm Design: Paradigms, Methods, and Complexity Analysis. Chapman & Hall/CRC, pp.380, 2013, Applied Algorithms and Data Structures series, 9781439825648. ⟨hal-00908448⟩



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