Practice Identifying Connected Components - 22.2.1 | 22. Applications of BFS and DFS | Design & Analysis of Algorithms - Vol 1
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Identifying Connected Components

22.2.1 - Identifying Connected Components

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a connected component?

💡 Hint: Think of it as a group in a family tree.

Question 2 Easy

Name the two algorithms discussed for exploring graphs.

💡 Hint: One goes level by level, the other dives deep.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a connected component?

A set of isolated vertices
A subset of vertices where every vertex is reachable from every other vertex
Any connected subgraph

💡 Hint: Think about how planets might be grouped based on their orbits.

Question 2

True or False: A connected graph has no disconnected components.

True
False

💡 Hint: Consider the definition of connectivity.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a complex undirected graph with isolated vertices and connected components, explain how you would identify and label each component.

💡 Hint: Consider sorting your visit order by the vertex number for systematic labeling.

Challenge 2 Hard

Write a function to determine if a given undirected graph contains cycles using DFS. What parameters would you pass?

💡 Hint: Focus on backtracking and how visited nodes are tracked.

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