Topological Sort | Kahn vs DFS | Graphs | Data Structure

Опубликовано: 30 Апрель 2026
на канале: Fit Coder
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Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of vertices such that for every directed edge u v, vertex u comes before v in the ordering.
In this video, I have discussed following two algorithms for Topological sort:
1. Kahn's algorithm
2. Modified DFS algorithm
I have explained both the algorithms using an example and have implemented in C++ as well.

Source Code: https://github.com/fit-coder/fitcoder...

00:00 Introduction
00:25 Topological sort
02:44 Kahn's algorithm
08:21 Modified DFS algorithm
13:12 Applications
15:30 C++ Implementation

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I live in New Delhi and love explaining programming concepts. I have done M.Tech(BITS Pilani) + B.Tech(PEC, Chandigarh) in Computer Science and am currently working as a software engineer in a MNC.
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For in-depth Graph theory and implementation details, please refer to the below videos:
Graphs Introduction:    • Introduction to Graphs Data Structure  

Graph representation:
Adjacency Matrix:    • Graph representation I - Adjacency Matrix ...  
Adjacency List:    • Graph representation II - Adjacency List E...  
Incidence Matrix:    • Graph representation III - Incidence Matri...  

Traversal techniques:
BFS, Breadth First Search:    • BFS Breadth First Search | Graph Traversal...  
DFS, Depth First Search:    • DFS Depth First Search | Graph Traversal |...  

Shortest Path algorithms:
Dijkstra algorithm:    • Dijkstra Algorithm | Single Source Shortes...  
Bellman Ford algorithm:    • Bellman Ford Algorithm | Single Source Sho...  
Floyd Warshall algorithm:    • Floyd Warshall Algorithm | All Pairs Short...  

Minimum Spanning Tree:
Kruskal algorithm:    • Kruskal Algorithm | Minimum Spanning Tree ...  
Prim algorithm:    • Prim Algorithm | Minimum Spanning Tree | G...  

Topological sort (Kahn algorithm):    • Topological Sort | Kahn vs DFS | Graphs | ...  

Articulation points / Cut vertices:
Tarjan algorithm:    • Articulation Points | Cut Vertices | Tarja...  

Disjoint Set / Union Find:    • Disjoint Set | Union Find | Cycle Detectio...  

Maximum Flow Problem:
Ford Fulkerson algorithm:    • Ford Fulkerson Algorithm | Maximum Flow Pr...  

Graph coloring / Chromatic number:    • Graph Coloring | Chromatic Number | BackTr...  

Hamiltonian cycle:    • Hamiltonian Cycle (Circuit) | Hamiltonian ...  

Euler cycle (Fleury algorithm):    • Euler Cycle (Circuit) | Euler Path | Circu...  


#DataStructure,#Graphs,#FitCoder,#Algorithm,#competitiveprogramming