| 竞赛矩阵的分析及其应用 |
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| 引用本文： | 王红专,张岩.竞赛矩阵的分析及其应用[J].南通大学学报(自然科学版),2010,9(1):82-85. |
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| 作者姓名： | 王红专 张岩 |
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| 作者单位： | 淮阴工学院数理学院,江苏,淮安,223001 |
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| 基金项目： | 淮阴工学院青年科研基金(HGQN0726) |
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| 摘 要： | 在传统的竞赛矩阵理论基础上进行扩展,建立一种基于强连通竞赛图和竞赛矩阵的分析模型.讨论以篮球比赛为模型的篮球竞赛图,采用该模型计算比赛得分,对双循环的竞赛进行了排名.结果证明了该分析模型的合理性,当比赛对应的竞赛图为强连通时,用相应的竞赛矩阵理论进行排名,可以克服传统的竞赛矩阵理论只用于单循环赛事排名的局限性,适合更广泛的赛制.
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| 关 键 词： | 竞赛矩阵 竞赛图 双循环赛 排名问题 |
Analysis and Application on Tournament Matrix |
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| Authors: | WANG Hong-zhuan ZHANG Yan |
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| Affiliation: | Faculty of Mathematics and Physics/a>;Huaiyin Institute of Technology/a>;Huaian 223001/a>;China |
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| Abstract: | We explore a new model of strongly-connected tournament graph and tournament matrix based on the traditional theory of tournament matrix. A model of basketball match tournament graph is created to count scores and rank double-round matches. The results prove the rationality of the model. When the corresponding tournament graph is strongly connected, ranking with corresponding tournament matrix theory can overcome the limitations of traditional tournament matrix theory which can only be used in ranking singl... |
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| Keywords: | tournament matrix tournament graph double round competition ranking problem |
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