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Track 010 of 10
Data StructuresAdvanced Level~30 Mins
10. Graphs & Graph Traversals (BFS & DFS)
Explore network nodes, adjacency lists, Breadth-First Search (BFS), and Depth-First Search (DFS).
The "WHY" Core Principle
BFS explores neighbor nodes level-by-level using a FIFO Queue, guaranteeing shortest path discovery.
Interactive Visualizer
Stack (LIFO) & Queue (FIFO) Interactive Simulator
Observe the difference between Last-In First-Out (Stack) and First-In First-Out (Queue).
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Interactive Code Snippets (1 Lessons)
Lesson 01
Graph BFS Shortest Path Algorithm
O(V + E)O(V)
Traverse an unweighted graph level-by-level using BFS Queue.
WHY Under The Hood:
A `visited` set prevents infinitely looping in cyclic graphs.
CPython C Struct Detail: Graph Adjacency List is represented in Python as a dict mapping node keys to lists.
Graph BFS Shortest Path Algorithm
Pyodide WASM EngineType, edit code, and click 'Run & Profile' to see live runtime ms and operation count!
Python 3.12 Code (Editable)
Expected:Time: O(V + E)Space: O(V)