Practice High Level View Of The Algorithm (5.2.1)

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6 sample questions

Question 1.
Define a spanning tree.
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Consider what it means to connect all vertices.
Question 2.
What is the main objective of Kruskal's algorithm?
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Focus on the cost associated with edges.
3Question 3.
What does Kruskal's algorithm primarily aim to achieve?
- Find a maximum spanning tree.
- Find a minimum cost spanning tree.
- Find a minimum-weight path.
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Consider what spanning tree signifies for overall cost.
4Question 4.
True or False: Kruskal's algorithm can add edges that would create cycles in the spanning tree.
- True
- False
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Remember the basic property of a tree.
Question 5.
Consider a graph with nodes labeled A to E, and edges with weights between them. Create a minimal spanning tree using Kruskal's algorithm and explain each step.
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You may need to visualize the edges while doing this.
Question 6.
Create a modified version of Kruskal's algorithm that can handle weighted edges with equal importance at each step.
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Think about scenarios where edges might have the same weight.

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