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arXiv 1808.05035physics.soc-phcs.SI
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社交网络中的结构转变:同质性的作用

Structural transition in social networks: The role of homophily

Yohsuke Murase, Hang-Hyun Jo, János Török, János Kertész, Kimmo Kaski

摘要:

我们引入了一个社交网络的形成模型,该模型考虑了个体的同质性或倾向于与相似的其他人联系和联系,以及由于人与人之间的社会互动而产生的全球和本地依恋以及关系强化的机制。我们推广的加权社会网络模型,使节点或个人有$F$功能,每个功能可以有$q$不同的值。在这里,两个个体之间由于特征的重叠而形成联系的趋势代表了同质性。我们发现相变是$F$或$q$的函数,从而得到相图。对于固定的$q$和作为$F$的函数,系统显示在$F_c$处分离的两相。对于$F{<}F_c$,可以识别出大的、同质的、分离良好的群落,其中特征几乎完全匹配(分离相)。当$F$变得大于$F_c$时,节点开始属于多个社区,并且在社区内,特征仅部分匹配(重叠阶段)。有几个量反映了这种转变,包括平均度,聚类系数,特征重叠和每个节点的社区数量。我们还试图解释这些结果的观察人类的社会行为。

英文摘要:

We introduce a model for the formation of social networks, which takes into account the homophily or the tendency of individuals to associate and bond with similar others, and the mechanisms of global and local attachment as well as tie reinforcement due to social interactions between people. We generalize the weighted social network model such that the nodes or individuals have $F$ features and each feature can have $q$ different values. Here the tendency for the tie formation between two individuals due to the overlap in their features represents homophily. We find a phase transition as a function of $F$ or $q$, resulting in a phase diagram. For fixed $q$ and as a function of $F$ the system shows two phases separated at $F_c$. For $F{<}F_c$ large, homogeneous, and well separated communities can be identified within which the features match almost perfectly (segregated phase). When $F$ becomes larger than $F_c$, the nodes start to belong to several communities and within a community the features match only partially (overlapping phase). Several quantities reflect this transition, including the average degree, clustering coefficient, feature overlap, and the number of communities per node. We also make an attempt to interpret these results in terms of observations on social behavior of humans.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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