Practice Executing the Algorithm by Hand - 21.1.2 | 21. Depth First Search (DFS) | Design & Analysis of Algorithms - Vol 1
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Executing the Algorithm by Hand

21.1.2 - Executing the Algorithm by Hand

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is Depth-First Search?

💡 Hint: Think about how DFS starts its exploration.

Question 2 Easy

Describe what a stack is used for in DFS.

💡 Hint: Consider the last vertex added to the stack.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Depth-First Search do?

Explores all vertices at once
Explores as far as possible before backtracking
Is not used for graph traversal

💡 Hint: Think about how it approaches exploration compared to BFS.

Question 2

Does DFS always find the shortest path in a graph?

True
False

💡 Hint: Recall how DFS navigates the graph compared to BFS.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using DFS, find all connected components in a given undirected graph and demonstrate how to apply the algorithm.

💡 Hint: Visualize the graph and ensure you revisit all possible starts.

Challenge 2 Hard

Graph G is constructed with vertices 1-10. Execute DFS and note all pre and post numbers, then identify any cut vertices.

💡 Hint: Focus on the connections and transitions between vertices during the DFS process.

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Reference links

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