By modeling Multi-user Two-way Relay Network as Weighted Bipartite Graph(WBG)and rational design of weight of the WBG using the channel state information,we make the relay and user-pair selection problem which is aim to maximize the total rate of the system equivalent to the Maximum Weighted Matching(MWM)problem of the WBG. Based on the Hungarian algorithm of graph theory,we proposed the Maximum Weighted Matching Selection Strategy(MWS). In further consideration of MWM and user-pair Fair-ness,we proposed the Maximum Weighted Matching Round-Robin Strategy(MR-RS)and the Maximum Weighted Matching based on Data Sequence Factor Strategy(MDS). The simulation results prove that the three strategies all enhance the performance of the total rate of the system.%通过对多用户对多个可选中继组成的双向中继网络进行权重二部图建模，并利用信道状态信息合理设计权重，从而将以最大化系统总速率为目标的中继和用户对选择策略问题等效为权重二部图的最大权匹配问题。利用图论最大权匹配算法（匈牙利算法），提出了最大权匹配选择策略。并进一步同时基于最大权匹配算法和用户对公平性，提出了最大权匹配轮询策略和基于数据序列因子的最大权匹配策略。仿真结果证明，3种策略均提升了系统性能。
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