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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a Minimum Cost Spanning Tree?
💡 Hint: Think about how these trees are formed and what they contain.
Question 2
Easy
How many edges does a tree with n vertices contain?
💡 Hint: Consider how removing an edge impacts the connectivity of a tree.
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 primary objective of a Minimum Cost Spanning Tree?
- To connect all vertices with the fewest edges
- To minimize the total edge weight
- To create a cycle
💡 Hint: Think about the keyword 'minimum' in the context of costs.
Question 2
True or False: A spanning tree can have cycles.
- True
- False
💡 Hint: Consider the properties that define a tree.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with vertices A, B, C, and D and edges (A-B, 3), (A-C, 4), (B-D, 5), (C-D, 1), determine the Minimum Cost Spanning Tree and justify your edges.
💡 Hint: Consider the edge weights carefully before selecting.
Question 2
Construct an acyclic graph with 8 vertices and demonstrate the unique path property between any two vertices.
💡 Hint: Draw out the graph and label the paths clearly.
Challenge and get performance evaluation