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Modelling aging characteristics in citation networks

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  • Hajra, Kamalika Basu
  • Sen, Parongama

Abstract

Growing network models with preferential attachment dependent on both age and degree are proposed to simulate certain features of citation network noted in [Redner, arXiv: physics/0407137 (2004)]. In this directed network, a new node gets attached to an older node with the probability ∼K(k)f(t) where the degree and age of the older node are k and t, respectively. Several functional forms of K(k) and f(t) have been considered. The desirable features of the citation network can be reproduced with K(k)∼k-β and f(t)∼exp(αt) with β=2.0 and α=-0.2 and with simple modifications in the growth scheme.

Suggested Citation

  • Hajra, Kamalika Basu & Sen, Parongama, 2006. "Modelling aging characteristics in citation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 575-582.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:575-582
    DOI: 10.1016/j.physa.2005.12.044
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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. S. R. Goldberg & H. Anthony & T. S. Evans, 2015. "Modelling citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(3), pages 1577-1604, December.
    3. 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.
    4. Liu, Xiao Fan & Chen, Hou-Jin & Sun, Wu-Jiu, 2021. "Adaptive topological coevolution of interdependent networks: Scientific collaboration-citation networks as an example," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    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. 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.
    7. Wen, Guanghui & Duan, Zhisheng & Chen, Guanrong & Geng, Xianmin, 2011. "A weighted local-world evolving network model with aging nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 4012-4026.
    8. Feng Hu & Lin Ma & Xiu-Xiu Zhan & Yinzuo Zhou & Chuang Liu & Haixing Zhao & Zi-Ke Zhang, 2021. "The aging effect in evolving scientific citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4297-4309, May.

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