How does Prim's algorithm work for finding the minimum spanning tree?
An example of an AI chatbot conversation about Prim's algorithm for minimum spanning trees.
How does Prim's algorithm work for finding the minimum spanning tree?
Prim's algorithm starts with a single vertex and grows the minimum spanning tree by adding the smallest edge from the tree to a vertex not yet in the tree.
Can you explain how the algorithm chooses the smallest edge?
Sure! It looks at all edges connecting the vertices in the tree to those outside and selects the one with the smallest weight.
What happens if there are multiple edges with the same weight?
If there are multiple edges with the same weight, Prim's algorithm can choose any of them, leading to potentially different minimum spanning trees.
Can you visualize Prim's algorithm step by step?
Absolutely! I can describe the steps or provide a visual representation if you have a specific graph in mind.
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