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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the primary goal of Prim's Algorithm?
💡 Hint: Think about trees and connection.
Question 2
Easy
What does a weighted graph represent?
💡 Hint: What can weights signify in terms of paths?
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 Prim's Algorithm primarily used for?
- Finding shortest paths
- Finding minimum spanning trees
- Calculating path weights
💡 Hint: Think about spanning and trees.
Question 2
True or False: The smallest edge in a connected graph needs to be included in every minimum spanning tree.
- True
- False
💡 Hint: Remember what the lemma states.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that Prim's Algorithm will not produce the correct spanning tree if the minimum separator lemma is violated (two edges of the same weight are possible).
💡 Hint: Think about edge choices and re-evaluating based on weights.
Question 2
Design a graph with at least four vertices and different weights, and execute the Prim's Algorithm step-by-step to find a minimum spanning tree, detailing every decision point.
💡 Hint: Visual aids can assist in tracking your path and choices.
Challenge and get performance evaluation