Practice Complexity Analysis (5.5) - Kruskal's Algorithm - Design & Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
What is Kruskal's algorithm used for?
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Think about trees and how they connect vertices.
Question 2.
Why is it essential to avoid cycles in a spanning tree?
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Consider the definition of a tree.
3Question 3.
What is the first step in Kruskal's algorithm?
- Sort the edges
- Pick the largest edge
- Count the vertices
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Recall the order of operations in the algorithm.
4Question 4.
True or False: Kruskal's algorithm can create cycles between paths in a graph.
- True
- False
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Remember the properties of a tree.
Question 5.
Given a graph with specific edge weight values, illustrate how you would implement Kruskal's algorithm step by step, providing the final minimum spanning tree.
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Sketch the graph and work through each edge systematically.
Question 6.
Explore how varying the weights of certain edges affects the final spanning tree result within Kruskal’s algorithm framework.
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What occurs if you make a high-weight edge low and vice versa?

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