论文标题
在无标度网络中巨型群集的不连续出现
Discontinuous emergence of a giant cluster in assortative scale-free networks
论文作者
论文摘要
当大型集群的生长在全球范围内被抑制时，在各个网络中，巨大的群集在键渗透中不连续出现。最近发现，即使在无标度（SF）网络中，这种现象也发生，在该网络中，枢纽加速了大簇的生长。不过，先前研究中使用的SF网络是分解性的，因此有必要检查现象是否也发生在分类SF网络中，在各种SF网络中，每个枢纽都更喜欢将其连接到另一个枢纽，从而加速了较大的群集生长。在本文中，我们发现这种现象，即与全球抑制大簇的键渗透中巨大群集的不连续出现，也发生在分类的SF网络中。有趣的是，与先前研究中过渡点生成的分离SF网络不同，生成的网络也是分类的，但在过渡点上不是SF网络。我们在另外两个模型中观察到类似的行为，并讨论结果。
A giant cluster emerges discontinuously in bond percolation in various networks when the growth of large clusters is globally suppressed. It was recently revealed that this phenomenon occurs even in a scale-free (SF) network, where hubs accelerate the growth of large clusters. The SF network used in the previous study was disassortative, though, so it is necessary to check whether the phenomenon also occurs in an assortative SF network, where each hub prefers to be connected to another hub and thus the large cluster growth is accelerated. In this paper, we find that the phenomenon, namely the discontinuous emergence of a giant cluster in bond percolation with the global suppression of large clusters, also occurs in an assortative SF network. Interestingly, the generated network is also assortative but not a SF network at the transition point, unlike the disassortative SF network generated at the transition point in the previous study. We observe similar behaviors in two additional models and discuss the results.
