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Competitive cluster growth in complex networks.

André A Moreira1, Demétrius R Paula, Raimundo N Costa Filho

  • 1Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
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We introduce a model for competitive cluster growth in complex networks. Network topology influences cluster size distribution, mirroring electoral vote patterns on hierarchical networks.

Area of Science:

  • Complex systems
  • Network science
  • Sociophysics

Background:

  • Understanding community formation and opinion dynamics is crucial in social networks.
  • Competitive cluster growth models help analyze how groups form and evolve.
  • Network topology significantly impacts emergent behaviors within agent-based systems.

Purpose of the Study:

  • To propose an idealized model for competitive cluster growth in complex networks.
  • To investigate the influence of network topology on cluster size distribution.
  • To explore the applicability of the model to real-world phenomena like electoral processes.

Main Methods:

  • Development of an idealized mathematical model for cluster growth.
  • Simulation of the growth process on various network topologies.

Related Experiment Videos

  • Analysis of cluster size distributions and their scaling properties.
  • Comparison of model-derived distributions with empirical data from electoral processes.
  • Main Results:

    • The cluster size distribution is contingent upon the specific network topology.
    • Hierarchical networks, such as the Apollonian network, yield cluster size distributions with a scaling form.
    • This observed scaling form resembles distributions found in electoral vote counts.

    Conclusions:

    • Network topology is a key determinant of competitive cluster growth dynamics.
    • Hierarchical structures in social networks may explain observed scaling patterns in electoral processes.
    • The proposed model offers insights into opinion formation and community evolution in complex systems.