Practice Applications of BFS and DFS - 22.6 | 22. Applications of BFS and DFS | Design & Analysis of Algorithms - Vol 1
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Applications of BFS and DFS

22.6 - Applications of BFS and DFS

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a cycle in a graph.

💡 Hint: Think about returning to the same point without retracing edges.

Question 2 Easy

What does DFS stand for?

💡 Hint: It's a common graph traversal algorithm.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a cycle in graph theory?

A path that starts and ends at different vertices
A path that starts and ends at the same vertex
A connection between two vertices

💡 Hint: Consider paths in a circle.

Question 2

Does a back edge in a directed graph always indicate a cycle?

True
False

💡 Hint: What does a back edge connect to?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are given a directed graph. Explain why the presence of a back edge indicates a cycle. Provide an example.

💡 Hint: Sketch the graph to visualize the back edge.

Challenge 2 Hard

Create a simple undirected graph and explain how you would use DFS to check for cycles.

💡 Hint: Focus on marking visited nodes and avoiding the parent node.

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