Practice Example Of Kruskal's Algorithm (5.2.2) - Kruskal's Algorithm - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What is the first step in Kruskal's Algorithm?
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Think about how you would arrange a deck of cards.
Question 2.
What is a Minimum Spanning Tree?
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It must connect without creating cycles.
3Question 3.
What is the first operation performed in Kruskal's Algorithm?
- Sorting edges
- Adding edges to the tree
- Finding cycles
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Think of how you identify the smallest item.
4Question 4.
True or False: Kruskal's Algorithm can form cycles in its minimum spanning tree.
- True
- False
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What property must a tree maintain?
Question 5.
A graph has vertices A, B, C, D, and edges (A-B: 1), (A-C: 3), (B-C: 2), (C-D: 4). Walk through Kruskal's algorithm to find the MST.
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Pay attention to what happens when you try to add edges.
Question 6.
Assuming a graph is fully connected with edge weights 1, 2, 3, and 4. If vertices are A, B, C, and D, find the weights of edges in the minimum spanning tree after applying Kruskal's Algorithm.
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Count edges and vertices carefully, and remember to avoid cycles.

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