Practice Kruskal's Algorithm (2.5.2) - Minimum Cost Spanning Trees - Design & Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
Define a spanning tree.
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Think about 'spanning' all vertices.
Question 2.
What does Kruskal's Algorithm help us find?
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Focus on minimizing costs!
3Question 3.
What does Kruskal's Algorithm primarily aim to find?
- A shortest path
- A minimum spanning tree
- A Hamiltonian cycle
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Think about what trees do!
4Question 4.
True or False: Kruskal's Algorithm can create cycles when adding edges.
- True
- False
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Focus on what it means to maintain a tree structure.
Question 5.
Given a modified graph with weights, calculate the minimum spanning tree using Kruskal's Algorithm and state the final weight.
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Remember to sort first and revisit all edges methodically.
Question 6.
Analyze the effectiveness of Kruskal's Algorithm in large dense graphs versus sparse graphs. Discuss the implications on performance.
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Consider edge counts relative to vertices when evaluating performance.

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