The Construction for Symmetrical Zone-Balanced Networks

For many real networks, the input and output switches can often be partitioned into subsets called zones such that switches in the same zone have a certain community of interest and are more likely to request a connection. Such a network will be called a zone-balanced network if, among other regularity conditions, the channel graph between an input switch u and an output switch v is either isomorphic to a graph G₁ if u and v are in the same zone, or isomorphic to a graph G₂ if otherwise. In this paper, we continue the study of using balanced incomplete block design for the construction of zone-balanced networks. We introduce some new methods to construct a wide class of such networks, which include some previous constructions as special cases.