Practice Minimum Cost Spanning Trees - 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 a spanning tree?

💡 Hint: Think about the properties of trees.

Question 2

Easy

What does MCST stand for?

💡 Hint: Consider what the objective of the spanning tree is.

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 Minimum Cost Spanning Tree (MCST) refer to?

  • A tree with the largest weight
  • A tree that costs the least to connect all vertices
  • A tree with no nodes

💡 Hint: Think about the objective of spanning trees.

Question 2

True or False: Prim's Algorithm starts from the smallest weight edge and builds the tree incrementally.

  • True
  • False

💡 Hint: Consider the methodology used by each algorithm.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with specified vertices and weighted edges, calculate both Prim's and Kruskal's Minimum Cost Spanning Trees and compare the results.

💡 Hint: Focus on the ways each algorithm approaches edge selection.

Question 2

Create a graph that contains several cycles and explain how Prim's and Kruskal's algorithms would handle it during the construction of the MCST.

💡 Hint: Consider the properties of cycles in the context of spanning trees.

Challenge and get performance evaluation