This paper discloses some of the prominent features of an(n + p)-terminal,n-port network synthesis procedure which is capable of producing various equivalent network realizations having different branch topologies on appropriate port-tree structures. The method is based on(n + 1)- and(n + 2)-terminal synthesis techniques that result in the generation of(p + 2)subnetworks whose combination results in a complete realization. One network provides all of the necessary inter-subtree transmission properties but contains both positive and negative branches; a second network having no negative branches provides no inter-subtree transmission but introduces parasitics among the ports within each port subtree andpintra-subtree networks, which complete the requirements of thepport subtrees. The completed network contains no negative branches and completely satisfies then(n + 1)/2requirements of then-port. The procedure is basic, straightforward, and is capable of systematization.