In a flow network, is it possible to restrict the flow going into a node?
I believe you can represent node N as two nodes, A and B. Node A has all of the inbound flow edges of N, and Node B has all of the outbound flow edges of N. Nodes A and B are connected by a single edge which you can use to throttle the flow. The edge from A to B is the only edge out of A and the only edge into B.