Based on the study of local minimum spanning tree（LMST）

a new topology control algorithms—fault-tolerant topology control algorithm based on LMST（FLMST）is propose.The algorithm constructs LMST by locally collected information

then it makes the network exsit at least K（K=2

3）pairwise-vertex-disjoint paths amongest the nodes by executing depth-first search algorithm.This algorithm preserves K connectivity and fault-tolerant property.Simulation results indicate that compared with existing topology control algorithms FLMST not only reduces power consumption and increases network capacity

but also the net fault-tolerance and surviving time are much improved.