Practice Design And Analysis Of Algorithms (5.1) - Kruskal's Algorithm

Practice: Design and Analysis of Algorithms

Lesson 5.1Kruskal's Algorithm

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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 connecting points with the least cost.
Question 2.
What is the first step in Kruskal’s algorithm?
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Remember the importance of edge weight.
3Question 3.
What is the primary purpose of Kruskal's algorithm?
- To find the shortest path in a graph
- To find the minimum spanning tree of a graph
- To sort the vertices of a graph
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Think about the tree that connects all points with the least cost.
4Question 4.
True or False: Prim's algorithm and Kruskal's algorithm can be used interchangeably.
- True
- False
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Consider how each algorithm builds its solution.
Question 5.
Given a graph with vertices A, B, C, and D and edges with weights AB: 1, AC: 4, BD: 3, CD: 2, demonstrate the application of Kruskal's algorithm step by step.
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Visualize each step, keeping an eye on what edges you can add.
Question 6.
Consider a scenario where an edge in Kruskal's algorithm with the lowest weight forms a cycle. How would the algorithm proceed?
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Think about the conditions necessary for an edge to be part of the tree.

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