论文标题
社交网络的统计物理
Statistical physics of social networking
论文作者
论文摘要
在这项工作中，我们试图从数学观点理解社交网络。首先，我们考虑一个网络，每个代表个人的节点可以与相邻节点相连，并具有一定概率，并与朋友的朋友建立联系。我们发现，所选参数组合的特定值高于特定值，两个广泛分开的节点之间连接的概率是无标度的。接下来，我们考虑了一个简化的在线社交媒体网络的案例，在线社交媒体网络中，每个人都以每单位时间的可能性不断地添加一个朋友：来自建议的社区以及他/她的友好列表的朋友。我们发现，自网络形成以来，在大型时期的极限中，两个广泛分开的个体之间的连接的可能性是量表的无限数量。因此，我们展示了在文献中未讨论的网络的一个不同规模的方面。
In this work we make an attempt to understand social networks from a mathematical viewpoint. In the first instance we consider a network where each node representing an individual can connect with a neighbouring node with a certain probability along with connecting with individuals who are friends of friends. We find that above a particular value of a chosen combination of parameters, the probability of connection between two widely separated nodes is a scale free. We next consider a simplified case of online social media networks in which each individual adds at a friends at constant probability per unit time: friends from a suggested neighbourhood as well as from his/her friendlist. We find that in the limit of large times since formation of the network, the probability of connection between two widely separated individuals is a scale free quantity. We hence, demonstrate a different scale free facet of networks not discussed before in literature.
