The Mean Capture Time on Horizontal Divided Nested Networks

In this paper, we consider the division of nested networks with a horizontal division line , where is the division coefficient. The problem of capture on the surplus network obtained after the division is studied. In addition, by studying the structure of the surplus network, we obtain the relationship between the transmission efficiency on the surplus network and the division coefficient . When is larger, the capture time is shorter and the network transmission efficiency is higher. At the same time, we also solved the mean capture time of each node on the bottom edge of the surplus network.