Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 385, Issue 2, Pages 707-717Publisher
ELSEVIER
DOI: 10.1016/j.physa.2007.07.032
Keywords
DCN model; small-world networks; scale-free networks; hierarchical structure
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We introduce a new simple pseudo tree-like network model, deterministic complex network (DCN). The proposed DCN model may simulate the hierarchical structure nature of real networks appropriately and have the unique property of,skipping the levels', which is ubiquitous in social networks. Our results indicate that the DCN model has a rather small average path length and large clustering coefficient, leading to the small-world effect. Strikingly, our DCN model obeys a discrete power-law degree distribution P(k) proportional to k-gamma, with exponent gamma approaching 1.0. We also discover that the relationship between the clustering coefficient and degree follows the scaling law C(k)similar to k(-1), which quantitatively determines the DCN's hierarchical structure. (C) 2007 Elsevier B.V. All rights reserved.
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