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Imagine overseeing a network of n interconnected nodes representing different sources of a resource. Each connection incurs a positive maintenance cost. With a specified budget,
Imagine overseeing a network of interconnected nodes representing different sources of a resource.
Each connection incurs a positive maintenance cost. With a specified budget, you have the opportunity
to establish resource hubs akin to building a hub on a node The goal is to determine the optimal
set of nodes for the hubs and the set of connections to retain, minimizing the overall maintenance
cost of the connections. Additionally, the objective is to ensure that each node is connected to at least
one hub through the retained connections. This network is a graph that is connected and undirected
with positive edge weights, assume
Design an algorithm for this and in doing so provide an algorithm description, correctness proof and
runtime anaylsis
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