The problem below aims to find the minimum cost for the network architecture:
We want to build a network where client terminals are connected to servers by cabling which is very expensive. The network architecture should be designed to minimize the total cost of the cabling used.
It is assumed that $T=\{T_1,\ldots,T_n\}$ is the set of terminals. Cabling costs are known.
Show that it is possible to model this problem with a graph theory tool.
Can someone please help to initialize and how to process to solve this problem?