Authors: Ms. Swapna Singh, Prof. (Dr.) Monika Sainger, Dr. Alka Singhal, Ms. Pooja Chaudhary, and Ms. Bhawna Goel

ISBN: 978-81-17787-03-8

DOI: https://doi.org/10.59646/860

Date of Publication: October 23, 2026

Preface

Design and Analysis of Algorithms: Fundamental Techniques, Advanced Data Structures, and Computational Complexity presents a comprehensive study of algorithmic principles, problem-solving methodologies, advanced data structures, and computational complexity. The book is designed to help students, researchers, and computing professionals develop a strong understanding of algorithm design, correctness, performance evaluation, and computational efficiency. It progresses from fundamental concepts and asymptotic analysis to advanced algorithmic strategies, optimization techniques, and the theoretical foundations of computational complexity.  The book covers essential topics, including sorting algorithms, order statistics, balanced search trees, advanced heap structures, tries, and probabilistic data structures. It explores major algorithm design paradigms such as divide and conquer, greedy algorithms, dynamic programming, backtracking, and branch and bound, with applications to graph problems, combinatorial optimization, algebraic computation, fast Fourier transform, and string matching. The later chapters examine computational complexity, NP-completeness, approximation algorithms, and randomized algorithms, providing insights into the challenges of solving computationally difficult problems and developing efficient practical solutions. Through systematic explanations, complexity analysis, and representative algorithmic problems, this book aims to strengthen analytical reasoning and equip readers with the knowledge required to evaluate algorithmic alternatives, optimize computational performance, and address complex problems in computer science and related disciplines.