Practice Outer Loop and Edge Addition - 5.4.2 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Outer Loop and Edge Addition

5.4.2 - Outer Loop and Edge Addition

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the main objective of Kruskal's algorithm?

💡 Hint: Think about how it connects all vertices.

Question 2 Easy

Why is sorting the edges necessary in Kruskal's algorithm?

💡 Hint: Consider the greedy approach of the algorithm.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in Kruskal's algorithm?

Add edges in random order
Sort all edges by weight
Select a starting vertex

💡 Hint: Think about why we want the least weight edges first.

Question 2

True or False: Kruskal's algorithm can create cycles in the minimum spanning tree.

True
False

💡 Hint: Consider the properties of trees.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a graph with at least 6 vertices and 8 edges, demonstrating Kruskal’s algorithm. Show how edges are added step-by-step to form a minimum spanning tree.

💡 Hint: Think through sorting and cycle checking at each step.

Challenge 2 Hard

Critically evaluate the advantages and disadvantages of Kruskal's algorithm compared to Prim's algorithm.

💡 Hint: Consider how each algorithm handles graph connectivity and edge weights.

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Reference links

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