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Related Experiment Videos

Quasistatic scale-free networks.

G Mukherjee1, S S Manna

  • 1Satyendra Nath Bose National Centre for Basic Sciences Block-JD, Sector-III, Salt Lake, Kolkata 700098, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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This study introduces a novel network model where link attachment depends on node degree. A transition to a scale-free network occurs at a critical parameter, altering the largest node

Area of Science:

  • Network science
  • Statistical physics

Background:

  • Complex networks are foundational to understanding systems across disciplines.
  • Initial network models often lack mechanisms for emergent scale-free properties.

Purpose of the Study:

  • To investigate the emergence of scale-free properties in a novel ring lattice network model.
  • To identify the critical parameter controlling network topology transitions.

Main Methods:

  • A one-dimensional ring lattice network was constructed with N sites (nodes).
  • N links were added, with attachment probability proportional to node degree k raised to the power of alpha (k^alpha).
  • The control parameter alpha was tuned to observe network evolution.

Main Results:

Related Experiment Videos

  • A transition point, alpha(c), was identified where the average degree of the largest node () changes its dependency from N0 to N.
  • For alpha >= alpha(c), the network exhibits scale-free characteristics.
  • Nodal degree distribution follows a power-law decay above the transition point.

Conclusions:

  • The proposed network model demonstrates a tunable transition to a scale-free state.
  • The attachment probability mechanism is crucial for generating scale-free networks from a simple lattice.
  • This work provides insights into the formation of complex network structures.