Practice Tracking Edge Addition (5.3) - Kruskal's Algorithm - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What does Kruskal’s algorithm aim to construct?
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Consider what is common in tree structures.
Question 2.
How does cycle detection work in Kruskal's algorithm?
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Think about how components are merged when adding edges.
3Question 3.
What is the main approach used by Kruskal's algorithm?
- It selects edges randomly
- It sorts edges and adds the lowest ones
- It starts from a vertex and grows a tree
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Consider how sorting impacts which edges are selected.
4Question 4.
Is Kruskal's algorithm a greedy algorithm?
- True
- False
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Reflect on what greedy algorithms do.
Question 5.
Given a graph with the following edges: (1,2,1), (1,3,3), (2,3,2), (2,4,4), (3,4,5). Apply Kruskal's algorithm and outline the steps taken.
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Visualize each step by drawing the graph as you add each edge.
Question 6.
Design a graph where applying Kruskal's algorithm gives a different spanning tree than using Prim's algorithm, justifying the result.
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Keep track of selection paths taken by both algorithms.

4 more questions in this section. Enroll free to practise them all.