Practice Properties of Trees - 2.4 | 2. Minimum Cost Spanning Trees | Design & Analysis of Algorithms - Vol 2
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Properties of Trees

2.4 - Properties of Trees

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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

💡 Hint: Think about both financial and logistical efficiencies.

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