Practice Kruskal's Algorithm Process - 5.2 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Kruskal's Algorithm Process

5.2 - Kruskal's Algorithm Process

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the first step in Kruskal's algorithm?

💡 Hint: Think about what prepares the algorithm for adding edges.

Question 2 Easy

What does Kruskal's algorithm do if adding an edge forms a cycle?

💡 Hint: Consider the rules about cycles in graph theory.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Kruskal's algorithm primarily focus on?

Finding the maximum spanning tree
Finding the minimum spanning tree
Finding all paths in a graph

💡 Hint: Think about the tree characteristics.

Question 2

True or False: Kruskal's algorithm adds edges in descending order of weight.

True
False

💡 Hint: Revisit the process of how values are arranged in the algorithm.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a graph with vertices A, B, C, and edges AB (10), AC (15), BC (5), outline the steps Kruskal's algorithm would take to find the MST.

💡 Hint: Sort first and then methodically check each edge for cycles.

Challenge 2 Hard

Demonstrate how Kruskal’s algorithm can be optimized using path compression and union by rank in the union-find data structure.

💡 Hint: Focus on how these techniques streamline the component merging process.

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