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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a spanning tree in the context of a graph?
💡 Hint: Think about the properties of trees.
Question 2
Easy
What is a greedy algorithm?
💡 Hint: Consider how you would make decisions based on current options.
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 main goal of Prim's algorithm?
- To find the shortest path
- To find the minimum cost spanning tree
- To find all paths
💡 Hint: Consider the definition of a spanning tree.
Question 2
True or False: Prim's algorithm can work with disconnected graphs.
- True
- False
💡 Hint: Think about the requirements for forming a spanning 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, D, and edges AB=1, AC=2, AD=3, BC=3, BD=2, CD=1, apply Prim's algorithm to find the minimum spanning tree.
💡 Hint: List your edges by weight and think about how to connect new vertices at each step.
Question 2
Consider a scenario where a graph has multiple edges between vertices with the same minimum weight. Discuss how Prim's algorithm handles this situation.
💡 Hint: Think about how the algorithm can choose edges that share the same weight.
Challenge and get performance evaluation