Practice Adjacency List - 20.2.2 | 20. Breadth First Search (BFS) | Design & Analysis of Algorithms - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does a graph consist of?

💡 Hint: Think about network connections.

Question 2

Easy

Describe an adjacency list.

💡 Hint: Consider how you would list friends for each person.

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 does BFS explore?

  • All vertices at once
  • Level by level
  • Randomly

💡 Hint: Think about how we explore new buildings in a neighborhood.

Question 2

Using an adjacency list reduces the time complexity of BFS to which of the following?

  • O(n²)
  • O(n + m)
  • O(m²)

💡 Hint: Focus on how the graph structure affects algorithm performance.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the following graph with 6 vertices represented as an adjacency list {1: [2, 3], 2: [1, 4], 3: [1], 4: [2, 5, 6], 5: [4], 6: [4]}, implement BFS starting from vertex 1. Provide the order of visited vertices and their levels.

💡 Hint: Track your progress with a queue and level records.

Question 2

Consider a graph where you need to compute the shortest path from vertex A to vertex D. Describe how you would implement BFS to find this path.

💡 Hint: Think about the relationships between vertices as you explore.

Challenge and get performance evaluation