Physics – Physics and Society
Scientific paper
2005-03-17
PHYSICAL REVIEW E 75, 036101 (2007)
Physics
Physics and Society
6 pages, 8 figures
Scientific paper
10.1103/PhysRevE.75.036101
We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, the strategies for enhancing robustness and immunization of a geographical network are proposed. Using the generating function formalism, we obtain the explicit form of the percolation threshold $q_{c}$ for networks containing arbitrary order cycles. For 3-cycles, the dependence of $q_c$ on the clustering coefficients is ascertained. The analysis substantiates the validity of the strategies with an analytical evidence.
Huang Liang
Yang Kongqing
Yang Lantian
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