Practice Kruskal's Algorithm - 2.5.2 | 2. Minimum Cost Spanning Trees | Design & Analysis of Algorithms - Vol 2
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Kruskal's Algorithm

2.5.2 - Kruskal's Algorithm

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a spanning tree.

💡 Hint: Think about 'spanning' all vertices.

Question 2 Easy

What does Kruskal's Algorithm help us find?

💡 Hint: Focus on minimizing costs!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Kruskal's Algorithm primarily aim to find?

A shortest path
A minimum spanning tree
A Hamiltonian cycle

💡 Hint: Think about what trees do!

Question 2

True or False: Kruskal's Algorithm can create cycles when adding edges.

True
False

💡 Hint: Focus on what it means to maintain a tree structure.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a modified graph with weights, calculate the minimum spanning tree using Kruskal's Algorithm and state the final weight.

💡 Hint: Remember to sort first and revisit all edges methodically.

Challenge 2 Hard

Analyze the effectiveness of Kruskal's Algorithm in large dense graphs versus sparse graphs. Discuss the implications on performance.

💡 Hint: Consider edge counts relative to vertices when evaluating performance.

Get performance evaluation

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