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DataStructuresStudyNote

Projects will be done on C++

Goal of this project : Emphasie data sturcture when programming.

Thoughts about data stuctures:

Aim of the subject or programmin data stucture is to make data orderly in order to fetch data fast as possible. Data when applied in real programming will be Scheduler in OS, indexing in mySQL, network routing in routers, algorithms in File System, etc

What

Data Structures are ways of organizing and storing data so it can be accessed, modified, and processed efficiently. They’re fundamental in computer science, algorithms, and system design.

Below is a clear, structured overview, from basics to advanced.


1. Basic (Linear) Data Structures

1. Array

  • Fixed-size, contiguous memory
  • Fast access by index: O(1)
  • Slow insert/delete in the middle: O(n)

Use case: lookup tables, matrices


2. Linked List

  • Nodes connected by pointers
  • Dynamic size
  • Slow access: O(n)

Types

  • Singly linked list
  • Doubly linked list
  • Circular linked list

Use case: frequent insertions/deletions


3. Stack (LIFO)

  • Last In, First Out
  • Operations: push, pop

Use case

  • Function calls
  • Undo/Redo
  • Expression evaluation

4. Queue (FIFO)

  • First In, First Out

Variants

  • Simple queue
  • Circular queue
  • Priority queue
  • Deque (double-ended queue)

Use case: task scheduling, buffering


2. Non-Linear Data Structures

5. Tree

Hierarchical structure (parent–child)

Common types

  • Binary Tree
  • Binary Search Tree (BST)
  • AVL Tree (self-balancing)
  • Red-Black Tree
  • Heap (Min/Max)

Use case

  • File systems
  • Databases
  • Expression parsing

6. Graph

  • Nodes (vertices) + edges
  • Directed / Undirected
  • Weighted / Unweighted

Representations

  • Adjacency list
  • Adjacency matrix

Use case

  • Social networks
  • Routing algorithms
  • Knowledge graphs (e.g., Neo4j 😉)

3. Hash-Based Data Structures

7. Hash Table (Map / Dictionary)

  • Key–value pairs
  • Average lookup: O(1)

Collision handling

  • Chaining
  • Open addressing

Use case

  • Caches
  • Indexing
  • Symbol tables

4. Advanced / Specialized Data Structures

8. Trie (Prefix Tree)

  • Efficient string search
  • Prefix-based lookup

Use case

  • Autocomplete
  • Spell checkers

9. Segment Tree

  • Range queries (sum, min, max)

Use case

  • Competitive programming
  • Time-series data

10. Disjoint Set (Union-Find)

  • Tracks connected components

Use case

  • Network connectivity
  • Kruskal’s MST algorithm

11. Bloom Filter

  • Probabilistic membership test
  • Space-efficient, false positives allowed

Use case

  • Caching systems
  • Databases

5. Time Complexity Summary

Data Structure Access Search Insert Delete
Array O(1) O(n) O(n) O(n)
Linked List O(n) O(n) O(1) O(1)
Stack O(n) O(n) O(1) O(1)
Queue O(n) O(n) O(1) O(1)
Hash Table O(1) O(1) O(1)
BST (balanced) O(log n) O(log n) O(log n) O(log n)

6. How to Choose the Right Data Structure

Ask yourself:

  1. Do I need fast lookup? → Hash Table
  2. Do I need ordering? → Tree
  3. Do I need hierarchy? → Tree
  4. Do I need relationships? → Graph
  5. Do I need simple LIFO/FIFO? → Stack / Queue

If you want, I can:

  • Explain data structures with diagrams
  • Compare data structures vs algorithms
  • Show Python / Java / C++ implementations
  • Tailor explanations for interview prep or system design
  • Connect data structures to Neo4j / graph DB design

Just tell me 👍

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Introduction of a few data structure with C++

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