Practice Properties Of Trees (2.4) - Minimum Cost Spanning Trees - Design & Analysis of Algorithms

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10 questions

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4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What defines a tree in graph terms?
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Think about cycles and connectivity.
Question 2.
Is a tree allowed to have cycles?
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Recall the definition of a tree.
3Question 3.
What characterizes a spanning tree?
- It has cycles
- It spans all vertices with minimum edges
- It can be disconnected
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Consider the definition of a spanning tree.
4Question 4.
A tree can have more than one path between any two vertices.
- True
- False
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Recall the unique path property of trees.
Question 5.
Given the following weighted graph, identify both Prim's and Kruskal's Minimum Cost Spanning Trees. Provide the steps taken.
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Work carefully through each step to ensure clarity in your choices.
Question 6.
Explain a scenario in which using MST would be critical for infrastructure development.
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Think about both financial and logistical efficiencies.

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