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Reply to: Asymptotic scaling describing signal propagation in complex networks

Nature Physics volume 16, pages 1084–1085 (2020)Cite this article

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replying to P. Ji et al. Nature Physics https://doi.org/10.1038/s41567-020-1025-3 (2020)

Ji et al.1 offer a technical correction to our derivation of the scaling exponent θ. We, therefore, revisit our original derivation and explain why their suggested correction is unnecessary. Moreover, we show that even if we follow their correction the predicted θ remains unchanged, hence it is also inconsequential. The supposed counter-examples cited by the authors originate from their erroneous focus on the prefactors, that is, the coefficients preceding the scaling relationship, rather than the actually predicted universal scaling exponent θ. We explain that these prefactors are (1) irrelevant and (2) predictably inaccurate, both in our original derivation and, most crucially, also in the authors’ suggested alternative.

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References

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Authors and Affiliations

  1. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India

    Chittaranjan Hens

  2. Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Uzi Harush, Simcha Haber, Reuven Cohen & Baruch Barzel

  3. Gonda Multidisciplinary Brain Research Center, Bar-Ilan University, Ramat-Gan, Israel

    Baruch Barzel

Authors
  1. Chittaranjan Hens
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  2. Uzi Harush
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  3. Simcha Haber
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  4. Reuven Cohen
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  5. Baruch Barzel
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Contributions

All authors conceived and designed the research. B.B. conducted the analytical derivations and led the writing; C.H. performed the complementary numerical testing presented in ref. 10.

Corresponding author

Correspondence to Baruch Barzel.

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Hens, C., Harush, U., Haber, S. et al. Reply to: Asymptotic scaling describing signal propagation in complex networks. Nat. Phys. 16, 1084–1085 (2020). https://doi.org/10.1038/s41567-020-1027-1

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