Practice Example of BFS Execution - 20.3.4 | 20. Breadth First Search (BFS) | Design & Analysis of Algorithms - Vol 1
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20.3.4 - Example of BFS Execution

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does BFS stand for?

💡 Hint: Think about how the search explores the graph.

Question 2

Easy

How do we keep track of vertices that have been visited in BFS?

💡 Hint: Consider whether we need to revisit vertices.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main advantage of using a queue in BFS?

  • To store vertices in a last-in
  • first-out manner
  • To manage which vertices to explore next in a first-in
  • first-out manner
  • To ignore vertices that have been visited

💡 Hint: Think about how BFS needs to manage the order of exploration.

Question 2

The time complexity of BFS using an adjacency matrix is?

  • O(n)
  • O(n^2)
  • O(n + m)

💡 Hint: Consider how many entries are in the matrix for n vertices.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the following graph composed of vertices and edges, write a BFS algorithm that starts with vertex 1 and outputs the order of vertices visited.

💡 Hint: Consider how neighbors are added to the queue.

Question 2

Design a graph with 10 vertices and at least 8 edges such that BFS starting from vertex 1 visits vertices in the order of 1, 2, 3, 4, 5, .... Write what this order reveals about the graph's structure.

💡 Hint: Visualize how each vertex connects and ensures every next vertex is reached during exploration.

Challenge and get performance evaluation