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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What constitutes a spanning tree?
💡 Hint: Think about the characteristics of trees in graph theory.
Question 2
Easy
How many edges does a tree with n vertices have?
💡 Hint: Consider how trees connect vertices.
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 nodes with minimum edges
- A tree with the least edge weight
- A cycle-free graph
💡 Hint: Focus on the 'minimum cost' aspect.
Question 2
True or False: Kruskal's Algorithm starts from a single vertex.
- True
- False
💡 Hint: Consider how each algorithm approaches its start.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of vertices and weighted edges, illustrate both Prim's and Kruskal's algorithms step by step on your graph.
💡 Hint: Ensure to represent cycles correctly throughout the process.
Question 2
In a graph where weights are randomly assigned, identify a scenario where Kruskal’s might be more efficient than Prim's.
💡 Hint: Consider the nature of the graph and available edges.
Challenge and get performance evaluation