Assuming of course that each connection is bidirectional, and if you are modelling the network like a graph then you may not have bidirectional links in order to capture some asymmetric edge weighting for routing purposes :)
My first distributed networking framework (in our Keyspace product) used unidirectional connections, eg. I had two connections per node-pair (n(n-1) total). This was OK because Keyspace was meant to run on 3 nodes, and it's very easy to handle in terms of code.
However in ScalienDB, which is a generic sharded database meant to be run on 10-100s nodes, I wanted to get that /2 in the formula, after all "easy to handle in terms of code" is not a good excuse for having 2x as many TCP connections on the switch! It was surprisingly error-prone to get this right. The basic problem is both sides initiating connections, and then figuring out which one to drop.