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A measure for the cohesion of weighted networks

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  • Leo Egghe
  • Ronald Rousseau

Abstract

A generalization of both the Botafogo‐Rivlin‐Shneiderman compactness measure and the Wiener index is presented. These new measures for the cohesion of networks can be used in case a dissimilarity value is given between nodes in a network or a graph. It is illustrated how a set of weights between connected nodes can be transformed into a set of dissimilarity measures for all nodes. The new compactness measure for the cohesion of weighted graphs has several desirable properties related to the disjoint union of two networks. Finally, an example is presented of the calculation of the new compactness measures for a co‐citation and a bibliographic coupling network.

Suggested Citation

  • Leo Egghe & Ronald Rousseau, 2003. "A measure for the cohesion of weighted networks," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 54(3), pages 193-202, February.
    • Handle: RePEc:bla:jamist:v:54:y:2003:i:3:p:193-202
    DOI: 10.1002/asi.10155
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    Cited by:

    1. Liu, Yuxian & Rousseau, Ronald & Egghe, Leo, 2017. "Partial orders for zero-sum arrays with applications to network theory," Journal of Informetrics, Elsevier, vol. 11(1), pages 257-274.
    2. Ismael Rafols & Martin Meyer, 2010. "Diversity and network coherence as indicators of interdisciplinarity: case studies in bionanoscience," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 263-287, February.
    3. Attila V. Varga, 2011. "Measuring the semantic integrity of scientific fields: a method and a study of sociology, economics and biophysics," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(1), pages 163-177, July.
    4. Raf Guns & Ronald Rousseau, 2014. "Recommending research collaborations using link prediction and random forest classifiers," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(2), pages 1461-1473, November.
    5. Li, Menghui & Fan, Ying & Chen, Jiawei & Gao, Liang & Di, Zengru & Wu, Jinshan, 2005. "Weighted networks of scientific communication: the measurement and topological role of weight," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 643-656.

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