Explaining the emergence of complex networks through log-normal fitness in a Euclidean node similarity space

Smith, K.M. ORCID: 0000-0002-4615-9020, 2021. Explaining the emergence of complex networks through log-normal fitness in a Euclidean node similarity space. Scientific Reports, 11: 1976. ISSN 2045-2322

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Abstract

Networks of disparate phenomena-be it the global ecology, human social institutions, within the human brain, or in micro-scale protein interactions-exhibit broadly consistent architectural features. To explain this, we propose a new theory where link probability is modelled by a log-normal node fitness (surface) factor and a latent Euclidean space-embedded node similarity (depth) factor. Building on recurring trends in the literature, the theory asserts that links arise due to individualistic as well as dyadic information and that important dyadic information making up the so-called depth factor is obscured by this essentially non-dyadic information making up the surface factor. Modelling based on this theory considerably outperforms popular power-law fitness and hyperbolic geometry explanations across 110 networks. Importantly, the degree distributions of the model resemble power-laws at small densities and log-normal distributions at larger densities, posing a reconciliatory solution to the long-standing debate on the nature and existence of scale-free networks. Validating this theory, a surface factor inversion approach on an economic world city network and an fMRI connectome results in considerably more geometrically aligned nearest neighbour networks, as is hypothesised to be the case for the depth factor. This establishes new foundations from which to understand, analyse, deconstruct and interpret network phenomena.

Item Type: Journal article
Publication Title: Scientific Reports
Creators: Smith, K.M.
Publisher: Springer
Date: 21 January 2021
Volume: 11
ISSN: 2045-2322
Identifiers:
NumberType
10.1038/s41598-021-81547-3DOI
1502690Other
Rights: © the author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Divisions: Schools > School of Science and Technology
Record created by: Jonathan Gallacher
Date Added: 10 Dec 2021 17:50
Last Modified: 10 Dec 2021 17:50
URI: http://irep.ntu.ac.uk/id/eprint/45105

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