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Effect of the age of papers on the preferential attachment in citation networks

Author

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  • Wang, Mingyang
  • Yu, Guang
  • Yu, Daren

Abstract

In this paper, we investigated the influences of the age of papers on the preferential attachment on the basis of three actual citation networks. We found that the time dependence of the attachment rate Π(k,t) follows a uniform exponentially decreasing function, T(t)∼exp(−λt), in different citation networks. Younger papers are more likely to be cited by new ones than older papers. On the basis of the aging influences, we modified the expression for the preferential attachment, to Π(k,t)∝k∗exp(−λt). Our results show that the modified preferential attachment works well for citation networks.

Suggested Citation

  • Wang, Mingyang & Yu, Guang & Yu, Daren, 2009. "Effect of the age of papers on the preferential attachment in citation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4273-4276.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:19:p:4273-4276
    DOI: 10.1016/j.physa.2009.05.008
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    Citations

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    Cited by:

    1. Ren, Fu-Xin & Shen, Hua-Wei & Cheng, Xue-Qi, 2012. "Modeling the clustering in citation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(12), pages 3533-3539.
    2. Iman Tahamtan & Askar Safipour Afshar & Khadijeh Ahamdzadeh, 2016. "Factors affecting number of citations: a comprehensive review of the literature," Scientometrics, Springer;Akadémiai Kiadó, vol. 107(3), pages 1195-1225, June.
    3. Dong, Ke & Wu, Jiang & Wang, Kaili, 2021. "On the inequality of citation counts of all publications of individual authors," Journal of Informetrics, Elsevier, vol. 15(4).
    4. D. R. Amancio & M. G. V. Nunes & O. N. Oliveira & L. F. Costa, 2012. "Using complex networks concepts to assess approaches for citations in scientific papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 91(3), pages 827-842, June.
    5. Wu, Yan & Fu, Tom Z.J. & Chiu, Dah Ming, 2014. "Generalized preferential attachment considering aging," Journal of Informetrics, Elsevier, vol. 8(3), pages 650-658.
    6. Binglu Wang & Yi Bu & Yang Xu, 2018. "A quantitative exploration on reasons for citing articles from the perspective of cited authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 116(2), pages 675-687, August.
    7. T. S. Evans & N. Hopkins & B. S. Kaube, 2012. "Universality of performance indicators based on citation and reference counts," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(2), pages 473-495, November.
    8. Pandey, Pradumn Kumar & Singh, Mayank & Goyal, Pawan & Mukherjee, Animesh & Chakrabarti, Soumen, 2020. "Analysis of reference and citation copying in evolving bibliographic networks," Journal of Informetrics, Elsevier, vol. 14(1).
    9. Monachary Kammari & Durga Bhavani S, 2023. "Time-stamp based network evolution model for citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(6), pages 3723-3741, June.
    10. Xiaorui Jiang & Xiaoping Sun & Hai Zhuge, 2013. "Graph-based algorithms for ranking researchers: not all swans are white!," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(3), pages 743-759, September.

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