Issue |
EPL
Volume 149, Number 4, February 2025
|
|
---|---|---|
Article Number | 42001 | |
Number of page(s) | 4 | |
Section | Mathematical and interdisciplinary physics | |
DOI | https://doi.org/10.1209/0295-5075/adab16 | |
Published online | 27 February 2025 |
Self-similar scaling of higher-order interactions in complex networks
1 Institute of Information Economy and Alibaba Business College, Hangzhou Normal University Hangzhou 311121, PRC
2 Nanxun Innovation Institute, Zhejiang University of Water Resources and Electric Power - Huzhou 310018, China
3 Library of Hangzhou Normal University, Hangzhou Normal University - Hangzhou 311121, China
Received: 5 November 2024
Accepted: 16 January 2025
Self-similarity of complex networks has been exhaustively explored but only concentrating on pairwise interactions between nodes. We restudy self-similar characteristics of networks from algebraic topological perspective. By virtue of a box covering technique, we generate consecutive renormalized networks with respect to different length scales. Interestingly, we find that the number of a specific order of clique in the renormalized networks presents a clearly scaling behavior. Moreover, we show that the growth pattern of cliques is likely to follow a universal principle for seemingly different kinds of real networks. Our work, for the first time, reveals the role of higher-order interactions in shaping self-similarity of complex networks.
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