中文摘要：

拓扑控制是无线传感器网络中最重要的技术之一.大规模随机部署的无线传感器网络节点,在满足无线传感器网络拓扑连通性的前提下,如何保证网络结构的稀疏性是一个亟待解决的问题,目前已有的研究结果表明当节点密度较大时,得到的网络拓扑复杂,计算路由将严重消耗节点资源.文中提出了一种平均度约束的无线传感器网络拓扑控制,通过增加节点通信半径,约束节点的平均度来解决网络的连通性与网络拓扑的稀疏性之间的矛盾.数值模拟表明：通过平均度约束的无线传感器网络拓扑控制,可减少网络中选出的工作节点数,保证了网络的稀疏性,简化了路由的复杂度,从而延长了网络的生存周期.

英文摘要：

　Topology control is one of the most important technologies in wireless sensor networks. In the precondition of the topology connectivity of wireless sensor networks, how to solve the sparseness of the network topology is a very important problem in a large number of sensor nodes deployed randomly. Existing topology control schemes show that network topology is complex and routing process consumes the resources heavily. This paper presents the topology control of wireless sensor networks under an average degree constraint. With increasing communication radius and constraining node degree, the inconsistency of network topology connectivity and sparseness can be solved. The simulation and analysis study demonstrate that proposed scheme can decrease working nodes, guarantee network topology sparseness, predigest routing complexity and prolong network survival period.