IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v353y2005icp576-594.html
   My bibliography  Save this article

A weighted network model for interpersonal relationship evolution

Author

Listed:
  • Hu, Bo
  • Jiang, Xin-Yu
  • Ding, Jun-Feng
  • Xie, Yan-Bo
  • Wang, Bing-Hong

Abstract

A simple model is proposed to mimic and study the evolution of interpersonal relationships in a student class. The small social group is simply assumed as an undirected and weighted graph, in which students are represented by vertices, and the depth of favor or disfavor between them are denoted by the corresponding edge weight. In our model, we find that the first impression between people has a crucial influence on the final status of student relations (i.e., the final distribution of edge weights). The system displays a phase transition in the final hostility proportion depending on the initial amity possibility. We can further define the strength of vertices to describe the individual popularity, which exhibits nonlinear evolution. Meanwhile, various nonrandom perturbations to the initial system have been investigated, and simulation results are in accord with common real-life observations.

Suggested Citation

  • Hu, Bo & Jiang, Xin-Yu & Ding, Jun-Feng & Xie, Yan-Bo & Wang, Bing-Hong, 2005. "A weighted network model for interpersonal relationship evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 576-594.
    • Handle: RePEc:eee:phsmap:v:353:y:2005:i:c:p:576-594
    DOI: 10.1016/j.physa.2005.01.052
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105000877
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.01.052?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Zhong, Weicai & Liu, Jing, 2012. "Comments on “Scale-free networks without growth”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2163-2165.
    2. Li, Pei & Yu, Jianyong & Liu, Jianxun & Zhou, Dong & Cao, Buqing, 2020. "Generating weighted social networks using multigraph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    3. Fan, Kangqi & Pedrycz, Witold, 2017. "Evolution of public opinions in closed societies influenced by broadcast media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 53-66.
    4. Peng-Xiang Li & Meng-Wu Zhang & You-Min Xi & Wen-Tian Cui, 2009. "Why organizational networks in reality do not show scale-free distributions," Computational and Mathematical Organization Theory, Springer, vol. 15(3), pages 169-190, September.

    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:eee:phsmap:v:353:y:2005:i:c:p:576-594. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.