๐Algorithm Design and Analysis (2025โ2026 Edition) is a complete syllabus-oriented book crafted for BSCS, BSIT, BS Software Engineering students, researchers, software developers, and competitive programmers who aim to master algorithm design, complexity analysis, and optimization techniques.
This edition integrates MCQs, quizzes, and practice problems to help learners strengthen both theoretical understanding and practical application. It covers classical and advanced algorithms, asymptotic notations, recursion, graph theory, dynamic programming, NP-completeness, and approximation techniques with real-world examples.
Students will not only learn to design efficient algorithms but also analyze their correctness, performance, and applicability in diverse computing problems.
๐ Chapters & Topics
๐น Chapter 1: Introduction to Algorithms
Definition and Characteristics
Importance and Applications
Design Goals: Correctness, Efficiency, Simplicity
Pseudocode Conventions
๐น Chapter 2: Growth of Functions & Asymptotic Notations
Mathematical Preliminaries
Best, Worst & Average Case Analysis
Big-O, Big-ฮฉ, Big-ฮ Notations
Growth Rate Comparisons
๐น Chapter 3: Recursion and Recurrence Relations
Recursion Basics
Recurrence Solving Techniques
Substitution, Iteration, and Master Theorem
๐น Chapter 4: Divide-and-Conquer Approach
Strategy and Applications
Binary Search, Merge Sort, Quick Sort
Strassenโs Matrix Multiplication
๐น Chapter 5: Sorting and Searching Algorithms
Basic, Advanced & Linear-Time Sorting
Binary Search and Variations
๐น Chapter 6: Advanced Data Structures
BST, AVL, Red-Black Trees, B-Trees
Heaps, Priority Queues, and Hashing
๐น Chapter 7: Greedy Algorithms
Greedy Methodology
MST (Primโs & Kruskalโs), Huffman Coding
Activity Selection Problem
๐น Chapter 8: Dynamic Programming
Overlapping Subproblems & Optimal Substructure
Case Studies: Fibonacci, LCS, Knapsack, OBST
๐น Chapter 9: Graph Algorithms
Representations: Adjacency List/Matrix
BFS, DFS, Topological Sort, SCCs
๐น Chapter 10: Shortest Path Algorithms
Dijkstraโs Algorithm
Bellman-Ford
Floyd-Warshall & Johnsonโs Algorithm
๐น Chapter 11: Network Flow and Matching
Flow Networks & Ford-Fulkerson
Maximum Bipartite Matching
๐น Chapter 12: Disjoint Sets and Union-Find
Union by Rank & Path Compression
Applications in Kruskalโs Algorithm
๐น Chapter 13: Polynomial and Matrix Calculations
Polynomial Multiplication
Fast Fourier Transform (FFT)
Strassenโs Algorithm Revisited
๐น Chapter 14: String Matching Algorithms
Naรฏve, Rabin-Karp, KMP, Boyer-Moore
๐น Chapter 15: NP-Completeness
NP, NP-Hard & NP-Complete Problems
Reductions & Cookโs Theorem
Example Problems (SAT, 3-SAT, Clique, Vertex Cover)
๐น Chapter 16: Approximation Algorithms
Approximation Ratios
Vertex Cover, TSP, Set Cover
๐ Why Choose this Book/app?
โ
Covers complete syllabus of Algorithm Design & Analysis
Includes MCQs, quizzes, and practice problems for mastery
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Explains recursion, dynamic programming, greedy & graph algorithms in depth
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Bridges theory with real-world problem-solving
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Perfect for exam preparation, coding interviews, and competitive programming
โ This app is inspired by authors:
Thomas H. Cormen, Charles Leiserson, Ronald Rivest, Clifford Stein, Jon Kleinberg, รva Tardos
๐ฅ Download Now!
Master efficiency, complexity, and optimization with Algorithm Design and Analysis (2025โ2026ย Edition).