Deterministic multidimensional growth model for small-world networks

Details Deterministic multidimensional growth model for small-world networks Deterministic multidimensional growth model for small-world networks

2011-08-27

arxiv.org/abs/1108.5450v1

Physics

Data Analysis, Statistics and Probability

10 pages, 3 figures

Scientific paper

We proposed a deterministic multidimensional growth model for small-world networks. The model can characterize the distinguishing properties of many real-life networks with geometric space structure. Our results show the model possesses small-world effect: larger clustering coefficient and smaller characteristic path length. We also obtain some accurate results for its properties including degree distribution, clustering coefficient and network diameter and discuss them. It is also worth noting that we get an accurate analytical expression for calculating the characteristic path length. We verify numerically and experimentally these main features.

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