Practice Tracking Edge Addition - 5.3 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Tracking Edge Addition

5.3 - Tracking Edge Addition

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Kruskal’s algorithm aim to construct?

💡 Hint: Consider what is common in tree structures.

Question 2 Easy

How does cycle detection work in Kruskal's algorithm?

💡 Hint: Think about how components are merged when adding edges.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main approach used by Kruskal's algorithm?

It selects edges randomly
It sorts edges and adds the lowest ones
It starts from a vertex and grows a tree

💡 Hint: Consider how sorting impacts which edges are selected.

Question 2

Is Kruskal's algorithm a greedy algorithm?

True
False

💡 Hint: Reflect on what greedy algorithms do.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with the following edges: (1,2,1), (1,3,3), (2,3,2), (2,4,4), (3,4,5). Apply Kruskal's algorithm and outline the steps taken.

💡 Hint: Visualize each step by drawing the graph as you add each edge.

Challenge 2 Hard

Design a graph where applying Kruskal's algorithm gives a different spanning tree than using Prim's algorithm, justifying the result.

💡 Hint: Keep track of selection paths taken by both algorithms.

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Reference links

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