Practice Complexity Analysis - 4.1.4 | 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

Define what a Minimum Spanning Tree is.

💡 Hint: Think about the characteristics of trees in graphs.

Question 2

Easy

What does Dijkstra's Algorithm do?

💡 Hint: Consider what 'shortest paths' means in graph traversal.

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 primary goal of Prim's algorithm?

  • Finding shortest paths
  • Constructing a minimum spanning tree
  • Searching a graph

💡 Hint: Focus on what Prim's algorithm aims to achieve in graphs.

Question 2

True or False: Dijkstra's algorithm can also construct minimum spanning trees.

  • True
  • False

💡 Hint: Consider the different goals of the two algorithms.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with 6 vertices and various weighted edges, demonstrate the application of both Prim's and Dijkstra's algorithms to outline the difference in results.

💡 Hint: Draw the graph and start applying each algorithm step by step.

Question 2

In a case where edge weights are duplicated across a graph, discuss the implications for minimum spanning tree uniqueness.

💡 Hint: Reflect on how uniqueness is impacted by equal options.

Challenge and get performance evaluation