The Properties of Tree-Like Hierarchical Networks

Authors

Yingxin Zhang, Science and Technology on Information Systems Engineering Laboratory, National University of Defense Technology, 410073, Changsha, Hunan, P. R. ChinaFollow
Chao Chen
Jianmai Shi

Author Country (or Countries)

P. R. China

Abstract

Tree-like hierarchical structure is one of the key features in many real complex systems. To investigate its properties, a deterministic tree-like hierarchical network model is proposed. Next, the static properties of the tree-like hierarchical networks are discussed. The simulation and theoretical results prove that the artificial tree-like networks conformably possess small-world and scalefree properties well. Furthermore, the dynamic cascading failures in the tree-like hierarchical networks are investigated. A weighted tree-like cascading failure model is proposed, and the impacts of topological structure on the network robustness are investigated by a set of illustrative simulations.

Suggested Reviewers

N/A

Recommended Citation

Zhang, Yingxin; Chen, Chao; and Shi, Jianmai (2013) "The Properties of Tree-Like Hierarchical Networks," Applied Mathematics & Information Sciences: Vol. 07: Iss. 6, Article 52.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss6/52