Practice Constructing the Minimum Cost Spanning Tree - 3.5 | 3. Spanning Trees: 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 is a spanning tree?

💡 Hint: Think about the definition of a tree in general.

Question 2

Easy

What does Prim's algorithm aim to achieve?

💡 Hint: Consider the words 'minimum cost' and 'spanning tree'.

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 cost spanning trees
  • Sorting data

💡 Hint: Think about what it means to connect every vertex at the lowest cost.

Question 2

True or False: In Prim's algorithm, you can revisit edges once they have been added to the spanning tree.

  • True
  • False

💡 Hint: Consider the definition of a tree.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a weighted graph with eight vertices and various edge weights, describe how Prim's algorithm progresses step-by-step starting at any chosen vertex.

💡 Hint: Keep track of the edges and their cumulative total weight.

Question 2

How would the minimum spanning tree change if some of the edges had the same weight? Discuss the implications on Prim's algorithm.

💡 Hint: Reflect on what it means for edges to have equal weights.

Challenge and get performance evaluation