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

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.

《算法設計指南：範式、方法和複雜度分析》提供了一個與標準算法書籍相補的觀點，為讀者提供了一個確定算法問題難度的路線圖，通過找到最優解或證明複雜度結果來解決問題。它實用地處理了算法複雜度並指導讀者解決算法問題。

該書分為三個部分，提供了一套包含解決方案的全面問題集，以及深入的案例研究，展示如何評估新問題的複雜度。

第一部分幫助讀者理解主要的設計原則並設計高效的算法。
第二部分涵蓋了從NP完全問題到超越NP完全性的多項式歸約方法。
第三部分為讀者提供了評估問題複雜度的工具和技巧，包括如何確定哪些實例是多項式的，哪些是NP困難的。

本書借鑒了作者在課堂上經過驗證的材料，逐步引導讀者理解分析算法複雜度的概念和方法。通過許多問題和詳細的例子，讀者可以研究多項式時間算法、NP完全性以及更高級的問題。