Classification within DSA?

Data Structures and Algorithms (DSA) is a broad field that can be categorized in several ways. Here’s an overview of the different categories:

1.Data Structures

• • Primitive Data Structures
    • Integers
    • Floats
    • Characters
    • Booleans
  • Non-Primitive Data Structures
    • Linear Data Structures:
      • Arrays: Collection of elements identified by index or key.
      • Linked Lists: Sequence of elements where each element points to the next.
        • Singly Linked List
        • Doubly Linked List
        • Circular Linked List
      • Stacks: Collection with Last In First Out (LIFO) order.
      • Queues: Collection with First In First Out (FIFO) order.
        • Simple Queue
        • Circular Queue
        • Priority Queue
        • Dequeue
  • Non-Linear Data Structures:
    • Trees: Hierarchical structure with a root element and sub-elements.
      • Binary Tree
      • Binary Search Tree (BST)
      • AVL Tree
      • Red-Black Tree
      • B-Trees and B+ Trees
    • Graphs: Set of nodes connected by edges.
      • Directed Graph
      • Undirected Graph
      • Weighted Graph
      • Unweighted Graph
    • Hashing:
      • Hash Tables: Stores key-value pairs and uses a hash function to compute an index into an array of buckets or slots.

2. Algorithms

• Searching Algorithms
  • Linear Search
  • Binary Search
  • Depth-First Search (DFS)
  • Breadth-First Search (BFS)
• Sorting Algorithms
  • Bubble Sort
  • Selection Sort
  • Insertion Sort
  • Merge Sort
  • Quick Sort
  • Heap Sort
  • Radix Sort
• Recursive Algorithms
  • Factorial Calculation
  • Fibonacci Sequence
  • Tower of Hanoi
• Dynamic Programming
  • Knapsack Problem
  • Longest Common Subsequence
  • Longest Increasing Subsequence
  • Matrix Chain Multiplication
• Greedy Algorithms
  • Activity Selection Problem
  • Huffman Coding
  • Kruskal’s Algorithm
  • Prim’s Algorithm
• Divide and Conquer
  • Merge Sort
  • Quick Sort
  • Binary Search
• Backtracking
  • N-Queens Problem
  • Sudoku Solver
  • Subset Sum Problem
• Graph Algorithms
  • Dijkstra’s Algorithm
  • Bellman-Ford Algorithm
  • Floyd-Warshall Algorithm
  • Kruskal’s Algorithm
  • Prim’s Algorithm

3. Advanced Topics

• String Algorithms
  • Knuth-Morris-Pratt (KMP) Algorithm
  • Rabin-Karp Algorithm
  • Z Algorithm
• Computational Geometry
  • Convex Hull
  • Line Intersection
• Network Flow
  • Ford-Fulkerson Algorithm
  • Edmonds-Karp Algorithm

4. Complexity Analysis

• Time Complexity
• Space Complexity

Each of these categories encompasses a variety of techniques and approaches that solve specific problems or optimize certain processes in computing. Understanding these categories helps in selecting the appropriate data structure or algorithm for a given task, which is crucial for efficient programming and problem-solving.