Nowadays, as networks widely spread, the number of contents over networks is increasing rapidly. To use them efficiently, mobile agent technology receives much attention.
In this paper, I propose how to design a logical network. The proposed method connects two logical links from a new node to the network under operation in order to make plural paths among arbitrary pairs of nodes. On the other hand, a demand for the total transmission time and the total traffic weighted on a physical network is different for various network applications. To satisfy such a demand, the proposed method chooses a node to which is connected by the new logical link. Here, the proposed method decreases the total number of degrees of the nodes between each pair of nodes in order to reduce the total transmission time.