Practice Conclusion On Spanning Trees (4.1.6) - Dijkstra's Algorithm and Prim's Algorithm

Practice: Conclusion on Spanning Trees

Lesson 4.1.6Dijkstra's Algorithm and Prim's Algorithm

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8 questions

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6 sample questions

Question 1.
Define a Minimum Spanning Tree (MST).
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Consider the concept of connecting all points.
Question 2.
What does Prim's algorithm do?
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Focus on how edges are chosen.
3Question 3.
What is the purpose of Prim's algorithm?
- To find the shortest path
- To find the minimum spanning tree
- To sort vertices
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Think about the graph properties it aims to optimize.
4Question 4.
True or False: Prim's algorithm can result in different Minimum Spanning Trees if edge weights are duplicated.
- True
- False
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Review how edge selection can vary in such cases.
Question 5.
You are given a graph with weights: (1,2,3), (1,3,4), (2,4,5), (3,4,1). Using Prim's algorithm, outline the steps taken to determine the MST and list the edges selected.
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Remember to always choose the edge with the smallest weight that connects the current tree.
Question 6.
In a scenario where edge weights have duplicates, how would you ensure that the same MST is produced in multiple iterations?
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Consider how sorting could help manage your edge choices.

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