Practice Properties of Trees - 2.4 | 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 defines a tree in graph terms?

💡 Hint: Think about cycles and connectivity.

Question 2

Easy

Is a tree allowed to have cycles?

💡 Hint: Recall the definition of a 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 characterizes a spanning tree?

  • It has cycles
  • It spans all vertices with minimum edges
  • It can be disconnected

💡 Hint: Consider the definition of a spanning tree.

Question 2

A tree can have more than one path between any two vertices.

  • True
  • False

💡 Hint: Recall the unique path property of trees.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the following weighted graph, identify both Prim's and Kruskal's Minimum Cost Spanning Trees. Provide the steps taken.

💡 Hint: Work carefully through each step to ensure clarity in your choices.

Question 2

Explain a scenario in which using MST would be critical for infrastructure development.

💡 Hint: Think about both financial and logistical efficiencies.

Challenge and get performance evaluation