Practice Example of Kruskal's Algorithm - 5.2.2 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Example of Kruskal's Algorithm

5.2.2 - Example of Kruskal's Algorithm

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the first step in Kruskal's Algorithm?

💡 Hint: Think about how you would arrange a deck of cards.

Question 2 Easy

What is a Minimum Spanning Tree?

💡 Hint: It must connect without creating cycles.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first operation performed in Kruskal's Algorithm?

Sorting edges
Adding edges to the tree
Finding cycles

💡 Hint: Think of how you identify the smallest item.

Question 2

True or False: Kruskal's Algorithm can form cycles in its minimum spanning tree.

True
False

💡 Hint: What property must a tree maintain?

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A graph has vertices A, B, C, D, and edges (A-B: 1), (A-C: 3), (B-C: 2), (C-D: 4). Walk through Kruskal's algorithm to find the MST.

💡 Hint: Pay attention to what happens when you try to add edges.

Challenge 2 Hard

Assuming a graph is fully connected with edge weights 1, 2, 3, and 4. If vertices are A, B, C, and D, find the weights of edges in the minimum spanning tree after applying Kruskal's Algorithm.

💡 Hint: Count edges and vertices carefully, and remember to avoid cycles.

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Reference links

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