IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0028116.html
   My bibliography  Save this article

Entropy of Dynamical Social Networks

Author

Listed:
  • Kun Zhao
  • Márton Karsai
  • Ginestra Bianconi

Abstract

Human dynamical social networks encode information and are highly adaptive. To characterize the information encoded in the fast dynamics of social interactions, here we introduce the entropy of dynamical social networks. By analysing a large dataset of phone-call interactions we show evidence that the dynamical social network has an entropy that depends on the time of the day in a typical week-day. Moreover we show evidence for adaptability of human social behavior showing data on duration of phone-call interactions that significantly deviates from the statistics of duration of face-to-face interactions. This adaptability of behavior corresponds to a different information content of the dynamics of social human interactions. We quantify this information by the use of the entropy of dynamical networks on realistic models of social interactions.

Suggested Citation

  • Kun Zhao & Márton Karsai & Ginestra Bianconi, 2011. "Entropy of Dynamical Social Networks," PLOS ONE, Public Library of Science, vol. 6(12), pages 1-7, December.
  • Handle: RePEc:plo:pone00:0028116
    DOI: 10.1371/journal.pone.0028116
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0028116
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0028116&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0028116?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906, Decembrie.
    2. Jon M. Kleinberg, 2000. "Navigation in a small world," Nature, Nature, vol. 406(6798), pages 845-845, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Carlos F Alvarez & Luis E Palafox & Leocundo Aguilar & Mauricio A Sanchez & Luis G Martinez, 2016. "Using Link Disconnection Entropy Disorder to Detect Fast Moving Nodes in MANETs," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-15, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Douglas R. White & Jason Owen-Smith & James Moody & Walter W. Powell, 2004. "Networks, Fields and Organizations: Micro-Dynamics, Scale and Cohesive Embeddings," Computational and Mathematical Organization Theory, Springer, vol. 10(1), pages 95-117, May.
    2. Huang, Wei & Chen, Shengyong & Wang, Wanliang, 2014. "Navigation in spatial networks: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 132-154.
    3. Mary Ganis & John Minnery & Iderlina Mateo-Babiano, 2016. "Planning people–places: A small world network paradigm for masterplanning with people in mind," Environment and Planning B, , vol. 43(6), pages 1075-1095, November.
    4. Ya-Chun Gao & Zong-Wen Wei & Bing-Hong Wang, 2013. "Dynamic Evolution Of Financial Network And Its Relation To Economic Crises," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(02), pages 1-10.
    5. Wang, Qingyun & Duan, Zhisheng & Chen, Guanrong & Feng, Zhaosheng, 2008. "Synchronization in a class of weighted complex networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5616-5622.
    6. F. W. S. Lima, 2015. "Evolution of egoism on semi-directed and undirected Barabási-Albert networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(12), pages 1-9.
    7. Andrea Avena-Koenigsberger & Xiaoran Yan & Artemy Kolchinsky & Martijn P van den Heuvel & Patric Hagmann & Olaf Sporns, 2019. "A spectrum of routing strategies for brain networks," PLOS Computational Biology, Public Library of Science, vol. 15(3), pages 1-24, March.
    8. L. da F. Costa & L. E.C. da Rocha, 2006. "A generalized approach to complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 237-242, March.
    9. Perc, Matjaž, 2010. "Zipf’s law and log-normal distributions in measures of scientific output across fields and institutions: 40 years of Slovenia’s research as an example," Journal of Informetrics, Elsevier, vol. 4(3), pages 358-364.
    10. Florian Blöchl & Fabian J. Theis & Fernando Vega-Redondo & Eric O'N. Fisher, 2010. "Which Sectors of a Modern Economy are most Central?," CESifo Working Paper Series 3175, CESifo.
    11. M. C. González & A. O. Sousa & H. J. Herrmann, 2004. "Opinion Formation On A Deterministic Pseudo-Fractal Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 45-57.
    12. A. Chatterjee, 2009. "Kinetic models for wealth exchange on directed networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(4), pages 593-598, February.
    13. D Dylan Johnson Restrepo & Neil F Johnson, 2017. "Unraveling the Collective Dynamics of Complex Adaptive Biomedical Systems," Current Trends in Biomedical Engineering & Biosciences, Juniper Publishers Inc., vol. 8(5), pages 118-132, September.
    14. A. Santiago & J. P. Cárdenas & M. L. Mouronte & V. Feliu & R. M. Benito, 2008. "Modeling The Topology Of Sdh Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(12), pages 1809-1820.
    15. Slobodan Maletić & Danijela Horak & Milan Rajković, 2012. "Cooperation, Conflict And Higher-Order Structures Of Social Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-29.
    16. Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2009. "A Dynamic Model of Segregation in Small-World Networks," Lecture Notes in Economics and Mathematical Systems, in: Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), Networks, Topology and Dynamics, pages 111-126, Springer.
    17. H. Lin & C.-X. Wu, 2006. "Dynamics of congestion transition triggered by multiple walkers on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 51(4), pages 543-547, June.
    18. Peter Biddle & Paul England & Marcus Peinado & Bryan Willman, 2003. "The Darknet and the Future of Content Distribution," Levine's Working Paper Archive 618897000000000636, David K. Levine.
    19. Derzsi, A. & Derzsy, N. & Káptalan, E. & Néda, Z., 2011. "Topology of the Erasmus student mobility network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2601-2610.
    20. Gómez-Gardeñes, J. & Moreno, Y. & Floría, L.M., 2005. "Michaelis–Menten dynamics in complex heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 265-281.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0028116. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.