Consider a scenario where you need to dynamically update the minimum spanning tree of a graph due to frequent changes in edge weights. Which algorithm, Prim's or Kruskal's, would be easier to adapt to these changes, and why?
- Bellman-Ford
- Dijkstra's
- Kruskal's
- Prim's
Prim's algorithm would be easier to adapt to dynamic changes in edge weights. This is because Prim's algorithm builds the minimum spanning tree incrementally, allowing for straightforward updates when edge weights change. Kruskal's algorithm, on the other hand, involves sorting edges, making dynamic updates less straightforward.
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