基于图论模型的乒乓球混双技战术分析与应用研究

Research on the Analysis and Application of Table Tennis Mixed Doubles Techniques and Tactics Based on Graph Theory Model

本文旨在构建乒乓球混双技战术图论模型,为乒乓球混双比赛技战术分析提供新的研究方法。方法:应用文献资料法与录像观察法构建技战术分析指标体系,运用图论模型对高水平混双比赛的373个回合为研究案例,对比赛的发球方式、技战术运用、技战术衔接进行分析,应用图论模型构建乒乓球混双动态网络G=(V(G),E(G))。结果:通过计算节点的度和网络边数,得到混双运动员使用最频繁的技战术组合与下一板最有可能采用的回击方式。结论:两对混双选手都是在女子发球轮次占优,当男女运动员双方采用逆旋转发球方式时,获胜概率较高;刘诗雯和伊藤美诚在比赛中使用较多的技术线路组合分别是正手摆短斜线和反手拉斜线;许昕和水谷隼在出台球进攻上技术线路组合应用较多的是正手侧身拉斜线。

Objective: To construct the graph theory model of table tennis mixed doubles technology and tactics, and to provide a new research method for the analysis of table tennis mixed doubles technology and tactics. Methods: the technical and tactical analysis index system was determined by the methods of literature and video observation. Using the graph theory model, 373 rounds of the world’s top mixed doubles competition were taken as research cases to analyze the service mode, technical and tactical application and technical and tactical connection of the competition.The dynamic network of table tennis mixed doubles was creatively constructed based on graph theory, g =(V(g), e(g)). By calculating the degree of nodes and the number of network edges, we can get the most frequently used technical and tactical combination of mixed doubles athletes and the most likely return stroke method of the next board. Conclusion: two pairs of mixed doubles players are dominant in women’s service rounds. When both male and female athletes use reverse rotation service, the winning probability is higher;Ito and Liu Shiwen used the most techniques in the competition are the backhand pull(attack) slash and the forehand swing short slash;Xu Xin and Jun Falcon are forehand draw slashes and so on. Conclusion: The table tennis technical and tactical analysis model based on graph theory model has certain practicability and intuition.