Practice Executing Prim's Algorithm - 4.1.2 | 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 a minimum spanning tree do?

💡 Hint: Think about the purpose of connecting nodes efficiently.

Question 2

Easy

Define edge weight in the context of graphs.

💡 Hint: What quantity is associated with each edge?

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 used for?

  • Finding shortest path
  • Creating a minimum spanning tree
  • Sorting elements

💡 Hint: Think about tree structures in graphs.

Question 2

True or False: Prim's algorithm can be executed starting from any vertex in the graph.

  • True
  • False

💡 Hint: Consider starting points in a graph.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices and weighted edges, execute Prim's algorithm starting from vertex A and illustrate the tree formed step-by-step.

💡 Hint: Keep track of the distances for each vertex through the process.

Question 2

Analyze a scenario where edge weights are not unique. Discuss how Prim's would select edges differently if multiple edges had the same weight.

💡 Hint: Consider how selections could produce various trees.

Challenge and get performance evaluation