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Evolution of Weighted Networks with Exponential Aging of Sites |
| XU Xin-Jian;WU Zhi-Xi;WANG Ying-Hai |
| Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000 |
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| Cite this article: |
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XU Xin-Jian, WU Zhi-Xi, WANG Ying-Hai 2005 Chin. Phys. Lett. 22 1548-1551 |
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Abstract We study the growth of weighted networks with exponential aging of sites. Each new vertex of the network is connected to some old vertices with proportional (i) to the strength of the old vertex and (ii) to e-ατ, where τ is the age of the old vertex and α is a positive constant. As soon as the preferential attachment is modified by such factors, the interesting quantities of the produced network (the vertex degree, vertex strength, clustering coefficient and average path length) will be significantly transformed.
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| Keywords:
89.75.Fb
89.75.Hc
05.10.-a
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Published: 01 June 2005
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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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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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