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

20.2.2 - Adjacency List

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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