复杂网络中的拓扑相变
Topological phase transition in complex networks
摘要：
偏好依恋是复杂网络理论中的一个核心范式。在这篇文章中，我们考虑了偏好连接的各种推广，包括例如节点移除和边缘重布线。我们证明了广义优先连接网络可以发生拓扑相变。这种转变将具有幂律尾度分布的网络与具有指数尾度分布的网络分开。相变的出现与网络动力学连续变量描述的失效密切相关。
英文摘要：
Preferential attachment is a central paradigm in the theory of complex networks. In this contribution we consider various generalizations of preferential attachment including for example node removal and edge rewiring. We demonstrate that generalized preferential attachment networks can undergo a topological phase transition. This transition separates networks having a power-law tail degree distribution from those with an exponential tail. The appearance of the phase transition is closely related to the breakdown of the continuous variable description of the network dynamics.
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。
