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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define Prim's algorithm in your own words.
💡 Hint: Focus on the steps and how it builds the tree.
Question 2
Easy
What does a spanning tree do?
💡 Hint: Think about what a tree structure is.
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 does Prim's algorithm find in a graph?
- Longest path
- Minimum spanning tree
- Largest cycle
💡 Hint: Recall the objective of the algorithm.
Question 2
True or False: Prim's algorithm can only be used on directed graphs.
- True
- False
💡 Hint: Think about the nature of the graph used.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with several vertices and edges of varying weights, demonstrate Prim's algorithm step-by-step, explaining each decision made along the way.
💡 Hint: Track your choices to validate each step against the minimum separator lemma.
Question 2
Construct a comprehensive analysis of comparing Prim's and Kruskal's algorithms when applied to a dense versus a sparse graph. Discuss efficiency and outcomes for both.
💡 Hint: Review their operating principles and how those relate to graph characteristics.
Challenge and get performance evaluation