Conditions for Viral Influence Spreading through Multiplex Correlated Social Networks
Conditions for Viral Influence Spreading through Multiplex Correlated Social Networks
复制标题
通过多重相关社交网络传播病毒影响力的条件
DOI：
10.1103/physrevx.4.021031
复制
发表时间：
2014-05-20
影响因子：
12.5
通讯作者：
Makse, Hernan A.
中科院分区：
文献类型：
--
作者：
Hu, Yanqing;Havlin, Shlomo;Makse, Hernan A.
网络科学中的一个基本问题是预测某些人如何能够发起新的网络以产生“新想法”。通常，这些趋势的变化是由少数创新者引发的，他们通过“病毒式”的影响力传播，迅速将自己的想法强加于人，产生了层出不穷的追随者，并分裂了一个旧的网络，创造了一个新的网络。典型的例子包括科学思想的兴起或社交媒体的突然变化，比如Facebook的崛起损害了Myspace的利益。这一过程在实践中是如何产生的，还没有得到确凿的证明。在这里，我们证明了维持病毒传播过程的一个条件是存在一个具有隐藏的“影响链接”的多重相关图。解析解预测了渗流-相变，无论是突然的还是连续的，在这种转变中，网络通过病毒式的追随者级联而瓦解，就像经验数据一样。我们的模型通过多层间局部关联函数的标度形式预测了维持大规模病毒传播的严格条件，这一点我们也得到了经验证实。最终，该理论预测了在从社会到金融体系和市场的一大类多元化网络中病毒级联的条件。
A fundamental problem in network science is to predict how certain individuals are able to initiate new networks to spring up "new ideas." Frequently, these changes in trends are triggered by a few innovators who rapidly impose their ideas through "viral" influence spreading, producing cascades of followers and fragmenting an old network to create a new one. Typical examples include the rise of scientific ideas or abrupt changes in social media, like the rise of Facebook to the detriment of Myspace. How this process arises in practice has not been conclusively demonstrated. Here, we show that a condition for sustaining a viral spreading process is the existence of a multiplex-correlated graph with hidden "influence links." Analytical solutions predict percolation-phase transitions, either abrupt or continuous, where networks are disintegrated through viral cascades of followers, as in empirical data. Our modeling predicts the strict conditions to sustain a large viral spreading via a scaling form of the local correlation function between multilayers, which we also confirm empirically. Ultimately, the theory predicts the conditions for viral cascading in a large class of multiplex networks ranging from social to financial systems and markets.