New families of triple-loop networks

There are two important topics in the multi-loop network. One is to fmd the minimum diameter for a fixed number of nodes, which is corresponding with the problem of minimizing the transmission delay. The other is to fmd the maximum number of nodes for a fixed diameter, which is corresponding with the problem of maximizing the support of services. For most triple-loop networks, however, the sharp bounds have not been discovered. In this paper, we propose five new families of triple-loop networks to improve results of these two topics.