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Title: Enhancing robustness and immunization in geographical networks

Abstract

We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, strategies for enhancing robustness and immunization of a geographical network are proposed. Using the generating function formalism, we obtain an explicit form of the percolation threshold q{sub c} for networks containing arbitrary order cycles. For three-cycles, the dependence of q{sub c} on the clustering coefficients is ascertained. The analysis substantiates the validity of the strategies with analytical evidence.

Authors:
 [1];  [2];  [3];  [2];  [1];  [2];  [2];  [2]
  1. Institute of Modern Physics, Chinese Academy of Science, Lanzhou 730000 (China)
  2. (China)
  3. Center for Complex Systems, Jimei University, Xiamen 361021 (China)
Publication Date:
OSTI Identifier:
21072401
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevE.75.036101; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; 60 APPLIED LIFE SCIENCES; CALCULATION METHODS; FUNCTIONS; NETWORK ANALYSIS; STATISTICAL MECHANICS; TOPOLOGY

Citation Formats

Huang Liang, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Kongqing, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Lei, Department of Physics, Lanzhou University, Lanzhou 730000, Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong, and Hong Kong Baptist University, Hong Kong. Enhancing robustness and immunization in geographical networks. United States: N. p., 2007. Web. doi:10.1103/PHYSREVE.75.036101.
Huang Liang, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Kongqing, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Lei, Department of Physics, Lanzhou University, Lanzhou 730000, Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong, & Hong Kong Baptist University, Hong Kong. Enhancing robustness and immunization in geographical networks. United States. doi:10.1103/PHYSREVE.75.036101.
Huang Liang, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Kongqing, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Lei, Department of Physics, Lanzhou University, Lanzhou 730000, Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong, and Hong Kong Baptist University, Hong Kong. Thu . "Enhancing robustness and immunization in geographical networks". United States. doi:10.1103/PHYSREVE.75.036101.
@article{osti_21072401,
title = {Enhancing robustness and immunization in geographical networks},
author = {Huang Liang and Department of Physics, Lanzhou University, Lanzhou 730000 and Yang Kongqing and Department of Physics, Lanzhou University, Lanzhou 730000 and Yang Lei and Department of Physics, Lanzhou University, Lanzhou 730000 and Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong and Hong Kong Baptist University, Hong Kong},
abstractNote = {We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, strategies for enhancing robustness and immunization of a geographical network are proposed. Using the generating function formalism, we obtain an explicit form of the percolation threshold q{sub c} for networks containing arbitrary order cycles. For three-cycles, the dependence of q{sub c} on the clustering coefficients is ascertained. The analysis substantiates the validity of the strategies with analytical evidence.},
doi = {10.1103/PHYSREVE.75.036101},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}