Analysis and Designs of Algorithms: A Critical Comparison of Different Works on Algorithms

Pranal Dhamdhere, Akash Dhamdhere, Aishwarya

Abstract: The research examines the six main textbooks on algorithm design and analysis through an analytical presentation, a critical context, and an integrative conclusion. A set of precise rules for solving a problem, known as an algorithm, can be used to swiftly and precisely produce the intended result from any legitimate input. Algorithms can be viewed as procedural approaches to problems where the focus is on effectiveness and precision. Numerous problem categories include those involving sorting, searching, string processing, graph problems, combinatorial issues, geometrical concerns, and numerical difficulties. Breaking a problem into multiple smaller subproblems of the same kind and nearly the same size, solving each of them recursively, and then merging their solutions to solve the bigger problem is referred to as the "divide-and-conquer" algorithm design technique.

Keywords: Algorithm