Practice Breadth First Search (BFS) - 20.1 | 20. Breadth First Search (BFS) | Design & Analysis of Algorithms - Vol 1
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Breadth First Search (BFS)

20.1 - Breadth First Search (BFS)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What data structure does BFS primarily use for managing vertices?

💡 Hint: Think about the order in which nodes are processed.

Question 2 Easy

Define what an adjacency matrix is.

💡 Hint: Consider how connections between nodes would be represented.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of BFS in terms of n and m?

O(n)
O(n^2)
O(n + m)

💡 Hint: Recall how BFS processes the graph based on its structure.

Question 2

True or False: BFS can find the shortest path in a weighted graph.

True
False

💡 Hint: Think about what BFS does differently from other algorithms.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a BFS algorithm that not only finds the shortest path from vertex A to vertex B but also outputs a list of all vertices visited in order.

💡 Hint: Incorporate both the parent array for path reconstruction and the visit list in your BFS implementation.

Challenge 2 Hard

How would you modify BFS to handle a situation where the graph changes dynamically? For example, edges can be added or removed during execution.

💡 Hint: Think about the impact of edge modifications on the traversal.

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Reference links

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