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

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation