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中文摘要：
基于通信虚拟主干网的拓扑构建是关闭冗余节点，节省全网能耗的有效方法。该文将全连通网络环境下寻找最优虚拟主干网问题抽象转化成最小连通支配集求解问题（MCDS），并建立了基于混合整数规划的数学模型（NMIP-MCDS）。NMIP-MCDS在分析MCDS解的基础上，确定以令牌分发数与节点能耗乘积为目标的优化函数，通过令牌分发同时辅以全网能量负载均衡的方式，构建最优MCDS。仿真实验结果验证了NMIP-MCDS的有效性，并可进一步实际应用在中等规模的无线传感网中。
英文摘要：
Topology construction based on virtual backbone communication is an effective way to shut down redundant nodes and save energy of whole network. In this paper, an issue of finding optimal virtual backbone through fully connected network is abstracted and converted into Minimum Connected Dominating Set （MCDS） issue while a new mathematical modeling approach which is called （NMIP）-MCDS based on Mixed Integer Programming is proposed. Furthermore, with the help of analyzing MCDS solution, the product of token distribution number and energy consumption from nodes are built as the goal of optimization function. Simultaneously, the optimal MCDS is constructed via manner of token distribution and network energy load balancing. Finally, simulation results show the effectiveness of NMIP-MCDS. It could be further applied to practical general WSNs.
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