Practice Update Mechanism In Prim's Algorithm (4.1.3) - Dijkstra's Algorithm and Prim's Algorithm

Practice: Update Mechanism in Prim's Algorithm

Lesson 4.1.3Dijkstra's Algorithm and Prim's Algorithm

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8 questions

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6 sample questions

Question 1.
What is Prim's algorithm used for?
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Think of the tree that connects all vertices with minimum weight.
Question 2.
What happens if two edges in Prim’s algorithm have the same weight?
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Consider what options become available in that case.
3Question 3.
What is Prim's algorithm primarily used for?
- Finding shortest paths in a graph
- Finding minimum spanning trees
- Finding maximum flow in a network
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Remember the tree connection concept.
4Question 4.
Dijkstra's algorithm is focused on:
- True
- False
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Reflect on how both handle weights.
Question 5.
Consider a graph with edges having weights such that two edges have the same weight. If you apply Prim's algorithm, describe how many possible minimum spanning trees might exist. Explain your reasoning.
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Reflect on what happens when multiple valid connections arise in a tree.
Question 6.
Create an example of a graph with five vertices and all edges with equal weights. Determine if Prim's algorithm will yield a unique minimum spanning tree.
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Think about the freedom of selection within your setup.

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