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ALGO-LAB Documentation

Introduction

This repository contains the laboratory work for the ALGO-LAB course. Each lab focuses on different aspects of algorithms and data structures, providing a comprehensive understanding of the field.

Lab Overview

Lab 1: Introduction to Algorithms

  • Topics: The importance of algorithms, algorithm analysis, big O notation.
  • Algorithms: Basic sorting algorithms (Bubble Sort, Selection Sort).
  • Key Concepts: Time complexity, space complexity.

Lab 2: Data Structures Basics

  • Topics: Introduction to data structures, types of data structures.
  • Algorithms: Array vs List.
  • Key Concepts: Memory allocation.

Lab 3: Growth of Function

  • Topics: Understanding function, matplotlib.

Lab 4: Searching Algorithms

  • Topics: Different searching techniques.
  • Algorithms: Binary Search, Linear Search.
  • Key Concepts: Search efficiency.

Lab 5: Sorting Algorithms

  • Topics: Advanced sorting techniques.
  • Algorithms: Quick Sort, Merge Sort.
  • Key Concepts: Divide and conquer.

Lab 6: Hashing

  • Topics: Understanding hashing functions.
  • Algorithms: Hash table implementations.
  • Key Concepts: Collision resolution.

Lab 7: Trees

  • Topics: Binary Trees, Binary Search Trees (BST).
  • Algorithms: Traversals (Preorder, Inorder, Postorder).
  • Key Concepts: Tree height and balance.

Lab 8: Graph Algorithms

  • Topics: Introduction to graphs, representations.
  • Algorithms: Depth First Search (DFS), Breadth First Search (BFS).
  • Key Concepts: Graph traversal techniques.

Lab 9: Dynamic Programming

  • Topics: Principles of dynamic programming.
  • Algorithms: Fibonacci sequence, Knapsack problem.
  • Key Concepts: Memoization, state space.

Lab 10: Greedy Algorithms

  • Topics: Overview of greedy techniques.
  • Algorithms: Activity selection, Huffman coding.
  • Key Concepts: Optimal substructure.

Lab 11: Advanced Data Structures

  • Topics: Introduction to advanced structures.
  • Algorithms: AVL trees, B-trees.
  • Key Concepts: Balancing and efficiency.

Lab 12: Complexity Analysis

  • Topics: Analyzing algorithm complexities.
  • Algorithms: Case studies on various algorithms.
  • Key Concepts: Worst-case, average-case analysis.

Conclusion

Understanding these algorithms and data structures is crucial for efficiently solving problems in computer science and software engineering.

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