Practice Outer Loop And Edge Addition (5.4.2) - Kruskal's Algorithm - Design & Analysis of Algorithms

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6 sample questions

Question 1.
What is the main objective of Kruskal's algorithm?
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Think about how it connects all vertices.
Question 2.
Why is sorting the edges necessary in Kruskal's algorithm?
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Consider the greedy approach of the algorithm.
3Question 3.
What is the first step in Kruskal's algorithm?
- Add edges in random order
- Sort all edges by weight
- Select a starting vertex
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Think about why we want the least weight edges first.
4Question 4.
True or False: Kruskal's algorithm can create cycles in the minimum spanning tree.
- True
- False
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Consider the properties of trees.
Question 5.
Design a graph with at least 6 vertices and 8 edges, demonstrating Kruskal’s algorithm. Show how edges are added step-by-step to form a minimum spanning tree.
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Think through sorting and cycle checking at each step.
Question 6.
Critically evaluate the advantages and disadvantages of Kruskal's algorithm compared to Prim's algorithm.
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Consider how each algorithm handles graph connectivity and edge weights.

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