In a full mesh topology, every computer in the network has a connection to each of the other computers in that network. The number of connections in this network can be calculated using the following formula (n is the number of computers in the network): n(n-1)/2
In a partially connected mesh topology, at least two of the computers in the network have connections to multiple other computers in that network. This is a cheaper way to build a network that has some redundancy in the event one of the primary computers or connections in the network were to be down.