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Data Structures Theory

DSAFundamentalsBeginner25 min

By: Anacodic Team

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Data Structures Theory

Arrays and Linked Lists

Arrays

  • Array representation in memory
  • Array operations and time complexity
  • Dynamic arrays
  • Multi-dimensional arrays
  • Advantages and disadvantages

Linked Lists

  • Singly linked lists
  • Doubly linked lists
  • Circular linked lists
  • Linked list operations (insert, delete, search)
  • Time complexity analysis
  • When to use arrays vs linked lists

Stacks and Queues

Stacks

  • LIFO (Last In First Out) principle
  • Stack operations (push, pop, peek)
  • Stack implementation (array-based, linked list-based)
  • Applications (expression evaluation, backtracking, function calls)
  • Time complexity

Queues

  • FIFO (First In First Out) principle
  • Queue operations (enqueue, dequeue, front)
  • Queue implementation
  • Priority queues
  • Deque (double-ended queue)
  • Applications (BFS, scheduling, buffering)

Trees and Graphs

Trees

  • Tree terminology (root, node, leaf, depth, height)
  • Binary trees
  • Binary search trees (BST)
  • Tree traversals (inorder, preorder, postorder, level-order)
  • Balanced trees (AVL, Red-Black)
  • Tree operations and time complexity

Graphs

  • Graph representation (adjacency list, adjacency matrix)
  • Graph types (directed, undirected, weighted)
  • Graph traversals (BFS, DFS)
  • Common graph algorithms
  • Time and space complexity

Hash Tables

Hash Tables

  • Hash function concepts
  • Collision resolution (chaining, open addressing)
  • Load factor
  • Time complexity analysis
  • Hash table implementation
  • Applications

Hash Functions

  • Properties of good hash functions
  • Common hash functions
  • Cryptographic vs non-cryptographic hashes
  • Collision probability

Practice Questions

Test your understanding with the questions in the interactive quiz below (when available).

Resources

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