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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a spanning tree?
💡 Hint: Think of a tree structure that includes all vertices.
Question 2
Easy
What does Prim's algorithm aim to find?
💡 Hint: Consider what 'minimum cost' means in relation to edge weights.
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 purpose of Prim's algorithm?
- Find the minimum spanning tree
- Sort the graph
- Cycle detection
💡 Hint: Consider what the term 'minimizing cost' relates to.
Question 2
Does Prim's algorithm always produce the optimal spanning tree?
- True
- False
💡 Hint: Recall the purpose of the algorithm.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose you have a graph with vertices A, B, C, and D and edges with weights as follows: AB(1), AC(4), AD(3), BC(2), BD(5), CD(2). Walk through Prim's algorithm step-by-step to find the minimum spanning tree.
💡 Hint: How do you choose the next edge after the first?
Question 2
Consider a scenario where multiple edges have the same weight in your graph. Discuss potential adjustments needed for Prim's algorithm to maintain optimal results.
💡 Hint: How does ambiguity in edge weights affect decision making?
Challenge and get performance evaluation