Design and Analysis of Algorithms By A.A.Puntambekar: A Review
Design and Analysis of Algorithms is a textbook written by A.A.Puntambekar and published by Technical Publications in 2010. The book covers various topics related to the design and analysis of algorithms, such as algorithmic strategies, complexity analysis, sorting and searching algorithms, graph algorithms, string matching algorithms, and NP-completeness. The book is intended for undergraduate students of computer science and engineering, as well as for those who want to learn the fundamentals of algorithm design and analysis.
The book is divided into eight chapters, each with a clear introduction, examples, pseudo code, exercises, and references. The first chapter introduces the basic concepts of algorithms, functions and relations, vectors and matrices, asymptotic notation, recurrence relations, and master theorem. The second chapter discusses the efficiency analysis of algorithms, including time complexity, space complexity, amortized analysis, average case analysis, and best case analysis. The third chapter presents various algorithmic strategies, such as divide and conquer, dynamic programming, greedy algorithm, backtracking, and branch and bound. The fourth chapter explains the sorting and searching algorithms, such as insertion sort, quick sort, merge sort, heap sort, counting sort, radix sort, binary search, interpolation search, hashing techniques, and collision resolution methods. The fifth chapter deals with the graph algorithms, such as breadth-first search, depth-first search, minimum spanning tree algorithms (Prim's and Kruskal's), shortest path algorithms (Dijkstra's and Bellman-Ford's), topological sorting, strongly connected components, Eulerian circuits, Hamiltonian cycles, planarity testing, and network flow algorithms (Ford-Fulkerson's and Edmonds-Karp's). The sixth chapter describes the string matching algorithms, such as naive algorithm, Rabin-Karp algorithm, Knuth-Morris-Pratt algorithm (KMP), Boyer-Moore algorithm (BM), finite automata algorithm (FA), suffix trees algorithm (ST), and longest common subsequence algorithm (LCS). The seventh chapter introduces the concept of NP-completeness, including the classes P and NP, polynomial-time reductions (Cook's theorem), NP-hard problems (SAT problem), NP-complete problems (clique problem), approximation algorithms (vertex cover problem), and randomized algorithms (Monte Carlo method). The eighth chapter provides some additional topics on algorithms design and analysis.
Design and Analysis of Algorithms By A.A.Puntambekar
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The book is well-organized and easy to follow. The author explains the concepts in a simple and straightforward manner. The examples are illustrative and relevant. The pseudo code is clear and consistent. The exercises are challenging and helpful. The references are updated and comprehensive. The book is suitable for both self-study and classroom teaching.
Overall, Design and Analysis of Algorithms By A.A.Puntambekar is a useful textbook for learning the design and analysis of algorithms. It covers the essential topics with sufficient depth and clarity. It is a valuable resource for students who want to master the art of algorithm design and analysis.
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