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Some Common Properties of Affiliation Bipartite Cooperation-Competition Networks

机译:隶属关系二分合作竞争网络的一些常见特性

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This article presents a brief review about some common properties of cooperation-competition networks described by affiliation bipartite graphs. Firstly,the distributions of three statistical quantities,the two bipartite graph degrees and a projected unipartite graph degree,which describes the network cooperation-competition configuration,are introduced. The common function forms of the distributions are deduced by the analytic and numerical analyses of a network evolution model,and then verified by the empirical investigations on 23 real world cooperation-competition systems.Secondly,for a description on the competition results,a node weight is proposed which represents a kind of its competition gain. A common node weight distribution function is empirically observed in the 23 real world systems. Thirdly,the relationships between the properties describing the cooperation-competition configuration and the competition properties are discussed. The only example reported in this article is the correlation between the node weight and a bipartite graph degree. These studies may be helpful for the development of complex system theory and the understanding of some important real world systems.
机译:本文简要介绍了隶属关系图中描述的合作竞争网络的一些共同属性。首先,引入了三个统计量,两个二分层和预计的单一图形学位的分布,描述了网络合作竞争配置。通过网络演变模型的分析和数值分析推断出分布的共同功能形式,然后通过23个现实世界合作竞争系统的实证调查验证。首先,有关竞争结果的描述,节点重量提出代表其竞争获得的一种竞争。在23个现实世界系统中经验观察到共同的节点重量分布函数。第三,讨论了描述合作竞争配置和竞争属性的物业之间的关系。本文中报告的唯一示例是节点重量与二分钟图之间的相关性。这些研究可能有助于开发复杂的系统理论和对一些重要的现实世界系统的理解。

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