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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a spanning tree.
💡 Hint: Look for the main properties of trees.
Question 2
Easy
Why do we need to minimize costs in Minimum Cost Spanning Trees?
💡 Hint: Think about government budgets after disasters.
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 a Minimum Cost Spanning Tree?
- A tree that connects all vertices without loops
- The most expensive tree
- Any tree in a graph
💡 Hint: Recall the definition we discussed.
Question 2
True or False: A spanning tree can have cycles.
- True
- False
💡 Hint: Think about the properties of trees.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a tree with six vertices connected with edges weighted as follows: A-B (10), A-C (15), B-D (5), B-E (10), and C-F (20). Calculate the minimum cost spanning tree.
💡 Hint: Start with the smallest weights but remember to maintain connectivity.
Question 2
Design a spanning tree connecting five locations in a park with the following distances (weights): A-B (2), A-C (6), B-C (3), B-D (9), C-E (5). What's the least costly way to connect all?
💡 Hint: Work systematically from the lowest weights, ensuring no cycles.
Challenge and get performance evaluation