Practice Adding Edges to a Tree - 2.4.2 | 2. Minimum Cost Spanning Trees | 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 the definition of a tree in graph theory?

💡 Hint: Think about connectivity and cycles.

Question 2

Easy

How many edges are in a tree with 6 vertices?

💡 Hint: Use the formula n-1.

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 does a tree have that makes it different from other graphs?

  • Multiple paths between vertices
  • No cycles allowed
  • It must have weights

💡 Hint: Focus on the definition of a tree.

Question 2

Is a Minimum Cost Spanning Tree the same as any spanning tree?

  • True
  • False

💡 Hint: Consider what makes a spanning tree minimum.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with 5 vertices and edges of varying costs. How would you implement Prim's algorithm to find the MCST? Illustrate the steps sequentially.

💡 Hint: Always choose edges that keep you connected and cost-efficient.

Question 2

Provide a real-world example of a situation where Kruskal's algorithm might be more beneficial than Prim's algorithm.

💡 Hint: Consider scenarios involving wireless networks or cable laying.

Challenge and get performance evaluation