šAlgorithm Design and Analysis (2025ā2026 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.
š Chapters & Topics
š¹ Chapter 1: Introduction to Algorithms
Definition and Characteristics
Importance and Applications
Design Goals: Correctness, Efficiency, Simplicity
Pseudocode Conventions
š¹ Chapter 2: Growth of Functions & Asymptotic Notations
Mathematical Preliminaries
Best, Worst & Average Case Analysis
Big-O, Big-Ī©, Big-Ī Notations
Growth Rate Comparisons
š¹ Chapter 3: Recursion and Recurrence Relations
Recursion Basics
Recurrence Solving Techniques
Substitution, Iteration, and Master Theorem
š¹ Chapter 4: Divide-and-Conquer Approach
Strategy and Applications
Binary Search, Merge Sort, Quick Sort
Strassenās Matrix Multiplication
š¹ Chapter 5: Sorting and Searching Algorithms
Basic, Advanced & Linear-Time Sorting
Binary Search and Variations
š¹ Chapter 6: Advanced Data Structures
BST, AVL, Red-Black Trees, B-Trees
Heaps, Priority Queues, and Hashing
š¹ Chapter 7: Greedy Algorithms
Greedy Methodology
MST (Primās & Kruskalās), Huffman Coding
Activity Selection Problem
š¹ Chapter 8: Dynamic Programming
Overlapping Subproblems & Optimal Substructure
Case Studies: Fibonacci, LCS, Knapsack, OBST
š¹ Chapter 9: Graph Algorithms
Representations: Adjacency List/Matrix
BFS, DFS, Topological Sort, SCCs
š¹ Chapter 10: Shortest Path Algorithms
Dijkstraās Algorithm
Bellman-Ford
Floyd-Warshall & Johnsonās Algorithm
š¹ Chapter 11: Network Flow and Matching
Flow Networks & Ford-Fulkerson
Maximum Bipartite Matching
š¹ Chapter 12: Disjoint Sets and Union-Find
Union by Rank & Path Compression
Applications in Kruskalās Algorithm
š¹ Chapter 13: Polynomial and Matrix Calculations
Polynomial Multiplication
Fast Fourier Transform (FFT)
Strassenās Algorithm Revisited
š¹ Chapter 14: String Matching Algorithms
NaĆÆve, Rabin-Karp, KMP, Boyer-Moore
š¹ Chapter 15: NP-Completeness
NP, NP-Hard & NP-Complete Problems
Reductions & Cookās Theorem
Example Problems (SAT, 3-SAT, Clique, Vertex Cover)
š¹ Chapter 16: Approximation Algorithms
Approximation Ratios
Vertex Cover, TSP, Set Cover
š Why Choose this Book/app?
ā
Covers complete syllabus of Algorithm Design & Analysis
Includes MCQs, quizzes, and practice problems for mastery
ā
Explains recursion, dynamic programming, greedy & graph algorithms in depth
ā
Bridges theory with real-world problem-solving
ā
Perfect for exam preparation, coding interviews, and competitive programming
ā This app is inspired by authors:
Thomas H. Cormen, Charles Leiserson, Ronald Rivest, Clifford Stein, Jon Kleinberg, Ćva Tardos
š„ Download Now!
Master efficiency, complexity, and optimization with Algorithm Design and Analysis (2025ā2026Ā Edition).
Ažurirano dana
12. dec 2025.