Suppose you are tasked with designing a network infrastructure where minimizing the total cost of cables is crucial. Which algorithm, Prim's or Kruskal's, would you choose to construct the network, and why?

  • Bellman-Ford
  • Dijkstra's
  • Kruskal's
  • Prim's
I would choose Prim's algorithm for constructing the network in this scenario. Prim's algorithm is more efficient when the graph is dense, making it suitable for minimizing the total cost of cables in a network infrastructure. It ensures that the constructed tree spans all nodes with the minimum total weight, making it an ideal choice for cost optimization.
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