da Fontoura Costa Luciano, Sporns Olaf, Antiqueira Lucas, das Graças Volpe Nunes Maria, Oliveira Osvaldo N
Instituto de Física de São Carlos, Universidade de São Paulo, P.O. Box 369, 13560-970, São Carlos, São Paulo, Brazil.
Department of Psychological and Brain Sciences, Indiana University, Bloomington, Indiana 47405.
Appl Phys Lett. 2007 Jul 30;91(5):054107. doi: 10.1063/1.2766683. Epub 2007 Aug 1.
In this letter the authors discuss the relationship between structure and random walk dynamics in directed complex networks, with an emphasis on identifying whether a topological hub is also a dynamical hub. They establish the necessary conditions for networks to be topologically and dynamically fully correlated (e.g., word adjacency and airport networks), and show that in this case Zipf's law is a consequence of the match between structure and dynamics. They also show that real-world neuronal networks and the world wide web are not fully correlated, implying that their more intensely connected nodes are not necessarily highly active.
在这封信中，作者讨论了有向复杂网络中结构与随机游走动力学之间的关系，重点在于确定拓扑中心是否也是动力学中心。他们建立了网络在拓扑和动力学上完全相关（例如，单词邻接网络和机场网络）的必要条件，并表明在这种情况下，齐普夫定律是结构与动力学匹配的结果。他们还表明，现实世界中的神经元网络和万维网并非完全相关，这意味着它们连接更紧密的节点不一定高度活跃。
