Performance analysis of mean internodal distance of connective semi-random networks

One of important properties of a multihop network is the mean internodal distance for evaluating transmission delay. The connective semi-random network achieves a smaller mean internodal distance than other networks. However, the results have only been obtained by computer simulation and no theoretical analysis has been performed. In this paper, we theoretically analyze the mean internodal distance of a connective semi-random network. Moreover, we also theoretically analyze a restricted connective semi-random network whose network connective probability is larger than that of a conventional connective semi-random network. It is shown that the theoretical analyzed results agree well with the simulated results in a conventional model and our model with small restriction. The influence of restriction on the mean internodal distance becomes small as the number of outgoing links per node becomes large