Practice Update Performance Improvement with Heap - 4.2.1 | 4. Dijkstra's Algorithm and Prim's Algorithm | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does Prim's Algorithm aim to find in a weighted graph?

💡 Hint: Think about what type of tree minimizes costs or distances.

Question 2

Easy

How does Prim's algorithm compare to Dijkstra's in terms of approach?

💡 Hint: Consider how distance is managed in both algorithms.

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
  • Constructing minimum spanning trees
  • Sorting data

💡 Hint: Remember its purpose in graph theory.

Question 2

Is the time complexity of Prim's algorithm improved with a heap?

  • True
  • False

💡 Hint: Think about how data structures can enhance algorithm efficiency.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a weighted graph with at least 6 vertices and apply Prim's algorithm. Explain each step clearly, including the edges chosen and the reasons for the choices.

💡 Hint: Keep track of edge weights as you go.

Question 2

Propose a method to deal with multiple edges of the same weight when implementing Prim's algorithm.

💡 Hint: How can you maintain consistent edge priorities?

Challenge and get performance evaluation