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Stable network topologies using the notion of covering

  • Janssen, R.H.P.
  • Monsuur, H.
Registered author(s):

    An alternative perspective to evaluate networks and network evolution is introduced, based on the notion of covering. For a particular node in a network covering captures the idea of being outperformed by another node in terms of, for example, visibility and possibility of information gathering. In this paper, we focus on networks where these subdued network positions do not exist. We call these networks stable. Within this set we identify the minimal stable networks, which frequently have a ‘bubble-like’ structure. Severing a link in such a network results in at least one of the nodes being covered. In a minimal stable network therefore all nodes cooperate to avoid that one of the nodes ends up in a subdued position. Our results can be applied to, for example, the design of (covert) communication networks and the dynamics of social and information networks.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377221711010563
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 218 (2012)
    Issue (Month): 3 ()
    Pages: 755-763

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    Handle: RePEc:eee:ejores:v:218:y:2012:i:3:p:755-763
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks
      [Connections: An Introduction to the Economics of Networks]
      ," Introductory Chapters, Princeton University Press.
    3. Monsuur, Herman, 2007. "Stable and emergent network topologies: A structural approach," European Journal of Operational Research, Elsevier, vol. 183(1), pages 432-441, November.
    4. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
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