Say I have a set of nodes ('terminals') and one additional node ('source') in a network. I don't care how the source is connected to the terminals, but I want to minimize the total edge distance. The solution is most likely a hub-and-spoke model (limited to three or fewer tiers)...
Thanks folks, typing that out gave me an idea I need to try. Maybe this is a hierarchical clustering problem followed by a linear programming problem to calculate the new node locations.
MST was only the beginning. Things are getting interesting now.
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