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Evolving Networks with Nonlinear Assignment of Weight |
| TANG Chao;TANG Yi |
| Institute of Modern Physics, Xiangtan University, Xiangtan 411105 |
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| Cite this article: |
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TANG Chao, TANG Yi 2006 Chin. Phys. Lett. 23 259-262 |
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Abstract We propose a weighted evolving network model in which the underlying topological structure is still driven by the degree according to the preferential attachment rule while the weight assigned to the newly established edges is dependent on the degree in a nonlinear form. By varying the parameter α that controls the function determining the assignment of weight, a wide variety of power-law behaviours of the total weight distributions as well as the diversity of the weight distributions of edges are displayed. Variation of correlation and heterogeneity in the network is illustrated as well.
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| Keywords:
89.75.Fb
89.75.Hc
05.65.+b
05.10.-a
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Published: 01 January 2006
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| PACS: |
89.75.Fb
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(Structures and organization in complex systems)
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89.75.Hc
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(Networks and genealogical trees)
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05.65.+b
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(Self-organized systems)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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