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Interpersonal interactions and human dynamics in a large social network


  • Grabowski, Andrzej


We study a large social network consisting of over 106 individuals, who form an Internet community and organize themselves in groups of different sizes. On the basis of the users’ list of friends and other data registered in the database we investigate the structure and time development of the network. The structure of this friendship network is very similar to the structure of different social networks. However, here a degree distribution exhibiting two scaling regimes, power-law for low connectivity and exponential for large connectivity, was found. The groups size distribution and distribution of number of groups of an individual have power-law form. We found very interesting scaling laws concerning human dynamics. Our research has shown how long people are interested in a single task.

Suggested Citation

  • Grabowski, Andrzej, 2007. "Interpersonal interactions and human dynamics in a large social network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 363-369.
  • Handle: RePEc:eee:phsmap:v:385:y:2007:i:1:p:363-369
    DOI: 10.1016/j.physa.2007.06.005

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    References listed on IDEAS

    1. Harder, Uli & Paczuski, Maya, 2006. "Correlated dynamics in human printing behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 329-336.
    2. Ghoshal, Gourab & Holme, Petter, 2006. "Attractiveness and activity in Internet communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 603-609.
    3. Hellervik, A. & Rodgers, G.J., 2007. "A power law distribution in patients’ lengths of stay in hospital," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 235-240.
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    Cited by:

    1. Jiang, Zhi-Qiang & Ren, Fei & Gu, Gao-Feng & Tan, Qun-Zhao & Zhou, Wei-Xing, 2010. "Statistical properties of online avatar numbers in a massive multiplayer online role-playing game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 807-814.
    2. Guoyin Jiang & Feicheng Ma & Youtian Wang, 2012. "A review on the evolution of user acceptance behaviour in collaborative e-commerce," International Journal of Electronic Finance, Inderscience Enterprises Ltd, vol. 6(1), pages 62-78.
    3. Liu, Ji & Deng, Guishi, 2009. "Link prediction in a user–object network based on time-weighted resource allocation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3643-3650.
    4. Ozsoylev, Han N. & Walden, Johan, 2011. "Asset pricing in large information networks," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2252-2280.


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