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Stable Matching in Structured Networks

机译:结构化网络中的稳定匹配

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Stable matching studies how to pair members of two sets with the objective to achieve a matching that satisfies all participating agents based on their preferences. In this research, we consider the case of matching in a social network where agents are not fully connected. We propose the concept of D-neighbourhood, associated with connective, costs to investigate the matching quality in four types of well-used networks. A matching algorithm is proposed based on the classical Gale-Shapley algorithm under constraints of network topology. Through experimental studies, we find that the matching outcomes in scale-free networks yield the best average utility with least connective costs comparing to other structured networks. This research provides insights for understanding matching behavior in social networks like marriage, trade, partnership, online social and job search.
机译:稳定匹配研究如何将两个集合的成员与目标配对,以实现根据所有参与主体的偏好满足其匹配的目标。在这项研究中,我们考虑了在代理商未完全连接的社交网络中进行匹配的情况。我们提出与连通性相关的D邻域概念,以研究四种常用网络类型的匹配质量。提出了一种基于经典Gale-Shapley算法的网络拓扑约束匹配算法。通过实验研究,我们发现,与其他结构化网络相比,无标度网络中的匹配结果可产生最佳的平均效用和最低的连接成本。这项研究为了解婚姻,贸易,伙伴关系,在线社交和求职等社交网络中的匹配行为提供了见识。

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