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Core-periphery organization of complex networks.

Petter Holme1

  • 1Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
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We introduce a new coefficient to measure network core-periphery structure. Transportation networks exhibit a strong core-periphery dichotomy, revealing insights into network organization and processes.

Area of Science:

  • Network science
  • Graph theory
  • Complex systems analysis

Background:

  • Networks often exhibit complex structures, including potential core-periphery dichotomies.
  • Quantifying the extent of this core-periphery structure is crucial for understanding network organization.

Purpose of the Study:

  • To develop a novel coefficient for measuring the core-periphery dichotomy in networks.
  • To analyze the characteristic values of this coefficient across diverse network types.
  • To investigate the radial properties of network cores.

Main Methods:

  • Introduction of a new coefficient to quantify network core-periphery structure.
  • Application of the coefficient to various real-world and model networks.
  • Analysis of radial statistics of network cores for increasing neighborhood sizes.

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Main Results:

  • Different network classes demonstrate characteristic values for the core-periphery coefficient.
  • Geographically embedded transportation networks show a pronounced core-periphery structure.
  • Networks exhibit a significant number of edges in core neighborhoods at specific distances, suggesting an effective radius.

Conclusions:

  • The proposed coefficient effectively distinguishes network core-periphery structures.
  • Transportation networks possess a distinct core-periphery organization.
  • The findings suggest an effective radius for non-trivial processes within network neighborhoods.