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All LessonsFree Lessons (5)

Introduction

Introduction to Graph Algorithms Directed and Undirected Graphs Graph Terminology I Graph Terminology II Weighted Graphs Excursion: Algorithm Analysis Quiz: Introduction to Graph Algorithms

Graph Representations

Adjacency Matrix Adjacency List Representing Weighted Graphs Comparison of Graph Representations Quiz: Graph Representations Challenge: Converting Graph Representations

Graph Traversal

Depth-first Search (DFS)

Implementation of DFS

Breadth First Search (BFS)

Implementation of BFS

Application 1: Topological Sort

Application 2: Strongly Connected Components

Implementation of Kosaraju's Algorithm

Quiz: Graph Traversal

Challenge: Bipartite Graph Check

Shortest Paths

Shortest Path Problems Dijkstra's Algorithm for the SSSP Implementation of Dijkstra Floyd-Warshall Algorithm for the ASSP Implementation of Floyd-Warshall Quiz: Shortest Paths Challenge: Bellmann-Ford

Spanning Trees

The Minimum Spanning Tree Problem Kruskal's Algorithm Implementation of Kruskal's Algorithm Quiz: Spanning Trees Challenge: Maximum Spanning Trees

Flow Problems

The Max Flow Problem The Ford-Fulkerson Method Max Flow = Min Cut Implementation of Ford Fulkerson (Edmonds-Karp)Quiz: Flow Problems Challenge: Bipartite Matchings

Conclusion

Recap and Next Steps

Appendix

Disjoint Set Union Data Structure

Learn Graph Algorithms in C++/

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Quiz: Graph Traversal

Quiz: Graph Traversal

Quiz yourself on graph traversal algorithms.

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Quiz: Graph traversal

1.

Which kind of edge can be used to detect cycles using DFS?

A.

Discovery edge

B.

Back edge

C.

Redundant edge

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