Abstract:Aimed at the previous research on wireless sensor nodes in a mobile group, the mobile population were only clustered and didn’t make full use of internal stability, combined with the cohesion principle and the law of the nodes’ motion in a group mobility model, using a smooth Gauss-Semi-Markov model to describe a single node’s moving characteristics within a mobile group, construct a stable spanning tree algorithm for mobile networks (GM-base stable spanning tree algorithm, referred to as GSST). Experiments show that the algorithm, in the light of a single node movement variety, predicts the future movement, selects stable links to construct the network structure, and improves the mobile networks stability, At the same time, which use tree’s hierarchical feature, simplify the networking process, and realize the network reorganization localization, which can effectively prolong the nodes’ survival rate, balance the amount of data transmission.