Practice Kruskal's Algorithm (5.1.1) - Kruskal's Algorithm - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What does Kruskal's Algorithm aim to achieve?
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Think about what a spanning tree represents.
Question 2.
What is the first step in Kruskal's Algorithm?
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Consider the sequence of actions in the algorithm.
3Question 3.
What is the main advantage of using Kruskal's Algorithm over other methods?
- It is always faster
- It is simpler to implement
- It guarantees a minimum spanning tree
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Consider what the algorithm is specifically designed to achieve.
4Question 4.
True or False: Kruskal's Algorithm can handle disconnected graphs.
- True
- False
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Reflect on the definition of a spanning tree.
Question 5.
Given the edge weights of a graph, calculate the minimum cost of connecting all vertices using Kruskal's algorithm.
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Use the properties of trees and weights as your guide.
Question 6.
Consider a graph with edges: A-B(1), A-C(5), B-C(3), B-D(4). Apply Kruskal's Algorithm and identify the minimum spanning tree.
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Check sorted order of weights as your first step.

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