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Generation models for scale-free networks

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  • Dangalchev, Chavdar

Abstract

In the last few years it has been established that the connectivity distribution of the large real-world networks often follows the power-law, i.e., they are scale-free networks. In this article stochastic models leading to scale-free network are considered and a model close to them is proposed. Deterministic models for creating scale-free networks with given nodes (static model) are demonstrated. A characteristic of graphs, which could be used for determining the scale-free topology of networks, is suggested.

Suggested Citation

  • Dangalchev, Chavdar, 2004. "Generation models for scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 659-671.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:3:p:659-671
    DOI: 10.1016/j.physa.2004.01.056
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    References listed on IDEAS

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    5. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
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    Cited by:

    1. Dangalchev, Chavdar, 2006. "Residual closeness in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 556-564.
    2. Bahrami, Mohammad & Chinichian, Narges & Hosseiny, Ali & Jafari, Gholamreza & Ausloos, Marcel, 2020. "Optimization of the post-crisis recovery plans in scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Wang, Wensheng & Karimi, Faezeh & Khalilpour, Kaveh & Green, David & Varvarigos, Manos, 2023. "Robustness analysis of electricity networks against failure or attack: The case of the Australian National Electricity Market (NEM)," International Journal of Critical Infrastructure Protection, Elsevier, vol. 41(C).
    4. Christian Stummer & Elmar Kiesling, 2021. "An agent-based market simulation for enriching innovation management education," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(1), pages 143-161, March.
    5. Kibae Kim & Jörn Altmann, 2015. "Effect of Homophily on Network Formation," TEMEP Discussion Papers 2015121, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised Mar 2017.
    6. Hongjie Li & W. K. Wong & Yang Tang, 2012. "Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 496-516, February.
    7. Diego R Amancio, 2015. "Probing the Topological Properties of Complex Networks Modeling Short Written Texts," PLOS ONE, Public Library of Science, vol. 10(2), pages 1-17, February.

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