4.1.3 - Update Mechanism in Prim's Algorithm
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Practice Questions
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What is Prim's algorithm used for?
💡 Hint: Think of the tree that connects all vertices with minimum weight.
What happens if two edges in Prim’s algorithm have the same weight?
💡 Hint: Consider what options become available in that case.
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Interactive Quizzes
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What is Prim's algorithm primarily used for?
💡 Hint: Remember the tree connection concept.
Dijkstra's algorithm is focused on:
💡 Hint: Reflect on how both handle weights.
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Challenge Problems
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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.
💡 Hint: Reflect on what happens when multiple valid connections arise in a tree.
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.
💡 Hint: Think about the freedom of selection within your setup.
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