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Identifying stable network structures and sets of key players using a W-covering perspective

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  • Janssen, R.H.P.
  • Monsuur, H.

Abstract

In evaluating and benchmarking positions of nodes within networks, several network statistics can be considered. A new benchmark is introduced that can be used to investigate whether or not a node is outperformed by another node regarding the connections to some fixed set W of nodes. Networks where these subdued positions do not exist are called W-stable. In this paper special attention is paid to minimal W-stable (random) networks, where W is the set of nodes having a degree crossing some fixed number. The notion of W-covering also makes possible to disclose an alternative definition and role of key players in social networks.

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  • Janssen, R.H.P. & Monsuur, H., 2013. "Identifying stable network structures and sets of key players using a W-covering perspective," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 245-253.
    • Handle: RePEc:eee:matsoc:v:66:y:2013:i:3:p:245-253
    DOI: 10.1016/j.mathsocsci.2013.05.005
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    References listed on IDEAS

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