Practice Cycles in Graphs - 22.3 | 22. Applications of BFS and DFS | Design & Analysis of Algorithms - Vol 1
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Cycles in Graphs

22.3 - Cycles in Graphs

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a graph is.

💡 Hint: Think about a diagram of points and connections.

Question 2 Easy

What does BFS stand for?

💡 Hint: Consider the order in which it's used to explore a graph.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary use of BFS?

To explore depth first
To find paths level by level
To mark all vertices

💡 Hint: Consider what happens with layers of a graph.

Question 2

True or False: A cyclic graph cannot have any loops.

True
False

💡 Hint: Think about connections that allow returning.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a directed graph with at least five vertices, ensuring there’s one cycle. Run DFS and document the order of visits and any cycles detected.

💡 Hint: Remember to keep track of each vertex’s pre and post numbers.

Challenge 2 Hard

In a given graph structure, identify critical edges that, when removed, would disconnect the graph. Provide evidence for your findings.

💡 Hint: Consider what happens to connectivity if certain paths are eliminated.

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