skip to main content

Average distance in a hierarchical scale-free network: an exact solution

Zhang, Zhongzhi ; Lin, Yuan ; Gao, Shuyang ; Zhou, Shuigeng ; Guan, Jihong

Journal of Statistical Mechanics: Theory and Experiment, 2009, P10022 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por
  • Título:
    Average distance in a hierarchical scale-free network: an exact solution
  • Autor: Zhang, Zhongzhi ; Lin, Yuan ; Gao, Shuyang ; Zhou, Shuigeng ; Guan, Jihong
  • Assuntos: Condensed Matter - Statistical Mechanics ; Physics - Physics And Society
  • É parte de: Journal of Statistical Mechanics: Theory and Experiment, 2009, P10022
  • Descrição: Various real systems simultaneously exhibit scale-free and hierarchical structure. In this paper, we study analytically average distance in a deterministic scale-free network with hierarchical organization. Using a recursive method based on the network construction, we determine explicitly the average distance, obtaining an exact expression for it, which is confirmed by extensive numerical calculations. The obtained rigorous solution shows that the average distance grows logarithmically with the network order (number of nodes in the network). We exhibit the similarity and dissimilarity in average distance between the network under consideration and some previously studied networks, including random networks and other deterministic networks. On the basis of the comparison, we argue that the logarithmic scaling of average distance with network order could be a generic feature of deterministic scale-free networks. Comment: Definitive version published in Journal of Statistical Mechanics

Buscando em bases de dados remotas. Favor aguardar.