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Effect of aging on network structure.

Han Zhu1, Xinran Wang, Jian-Yang Zhu

  • 1Department of Physics, Nanjing University, Nanjing 210093, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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Aging significantly impacts network evolution across various domains. Introducing aging factors, like exponential or power-law decay, transforms network structure, affecting clustering, hierarchy, and node distances in models like Barabasi-Albert.

Area of Science:

  • Network Science
  • Complex Systems
  • Statistical Physics

Background:

  • Aging is a universal phenomenon affecting evolving networks, including scientific collaboration, movie actor, and the Internet.
  • Nodes in networks, such as scientists or devices, have finite active periods or become obsolete.
  • Understanding aging's impact is crucial for analyzing dynamic network structures.

Purpose of the Study:

  • To investigate the effect of aging on network evolution, specifically within citation networks.
  • To model aging using exponential and power-law decay factors and compare their impact.
  • To analyze the transformation of the Barabasi-Albert scale-free model when incorporating aging.

Main Methods:

  • Representing node aging with an exponential decay factor, e(-betatau), where tau is node age.

Related Experiment Videos

  • Comparing exponential decay with other aging types, such as power-law decay.
  • Introducing aging factors into the Barabasi-Albert scale-free model to observe network transformations.
  • Main Results:

    • Aging introduces significant transformations to the Barabasi-Albert model, leading to clustering even in infinitely large networks.
    • The clustering coefficient's behavior depends on the aging intensity: linear increase for small beta, exponential decay for large beta.
    • Aging can induce hierarchical structures, disassortative degree-degree correlations, and alter average node distances based on the decay type.

    Conclusions:

    • The type of decay factor (exponential vs. power-law) significantly influences network properties like clustering and average node distance.
    • Exponential decay leads to a one-dimensional chain-like structure, while power-law decay shows a transformation from small-world to hypercubic lattice to a chain.
    • These findings have implications for interpreting empirical data and understanding network dynamics in real-world systems.