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Impact functions on the citation network of scientific articles

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  • de la Peña, José A.

Abstract

Scientometric models, which consider papers in a undifferentiated way, are blind to important features of the citation network. We propose an approach for the definition of a function PS, for any set of scientific articles S, which reflects global properties of the citation network associated to S. Such a function, that we propose as a measure of the impact of scientific papers, is constructed as solution of an iterated system of Perron-eigenvalue problems. We discuss differences with previously defined measures, in particular of the PageRank type.

Suggested Citation

  • de la Peña, José A., 2011. "Impact functions on the citation network of scientific articles," Journal of Informetrics, Elsevier, vol. 5(4), pages 565-573.
    • Handle: RePEc:eee:infome:v:5:y:2011:i:4:p:565-573
    DOI: 10.1016/j.joi.2011.05.001
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    References listed on IDEAS

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    1. Igor Podlubny, 2005. "Comparison of scientific impact expressed by the number of citations in different fields of science," Scientometrics, Springer;Akadémiai Kiadó, vol. 64(1), pages 95-99, July.
    2. Sune Lehmann & Andrew D. Jackson & Benny E. Lautrup, 2006. "Measures for measures," Nature, Nature, vol. 444(7122), pages 1003-1004, December.
    3. Chen, P. & Xie, H. & Maslov, S. & Redner, S., 2007. "Finding scientific gems with Google’s PageRank algorithm," Journal of Informetrics, Elsevier, vol. 1(1), pages 8-15.
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