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Centrality Computation in Weighted Networks Based on Edge-Splitting Procedure

Author

Listed:
  • Belik, Ivan

    (Dept. of Business and Management Science, Norwegian School of Economics)

  • Jörnsten, Kurt

    (Dept. of Business and Management Science, Norwegian School of Economics)

Abstract

The analysis of network’s centralities has a high-level significance for many real-world applications. The variety of game and graph theoretical approaches has a paramount purpose to formalize a relative importance of nodes in networks. In this paper we represent an algorithm for the centrality calculation in the domain of weighted networks. The given algorithm calculates network centralities for weighted graphs based on the proposed procedure of edges’ splitting. The approach is tested and illustrated based on different types of network topologies.

Suggested Citation

  • Belik, Ivan & Jörnsten, Kurt, 2014. "Centrality Computation in Weighted Networks Based on Edge-Splitting Procedure," Discussion Papers 2014/40, Norwegian School of Economics, Department of Business and Management Science.
    • Handle: RePEc:hhs:nhhfms:2014_040
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    File URL: http://hdl.handle.net/11250/227753
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    References listed on IDEAS

    as
    1. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    2. Gomez, Daniel & Gonzalez-Aranguena, Enrique & Manuel, Conrado & Owen, Guillermo & del Pozo, Monica & Tejada, Juan, 2003. "Centrality and power in social networks: a game theoretic approach," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 27-54, August.
    3. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    4. Mahendra Piraveenan & Mikhail Prokopenko & Liaquat Hossain, 2013. "Percolation Centrality: Quantifying Graph-Theoretic Impact of Nodes during Percolation in Networks," PLOS ONE, Public Library of Science, vol. 8(1), pages 1-14, January.
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    More about this item

    Keywords

    Network centrality; weighted graphs; edge splitting;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General

    NEP fields

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