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arXiv · 2302.10548

Endowing networks with desired symmetries and modular behavior

P. Khanra·S. Ghosh·D. Aleja·K. Alfaro-Bittner·G. Contreras-Aso·R. Criado·M. Romance·S. Boccaletti·P. Pal·C. Hens
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Abstract

Symmetries in a network regulate its organization into functional clustered states. Given a generic ensemble of nodes and a desirable cluster (or group of clusters), we exploit the direct connection between the elements of the eigenvector centrality and the graph symmetries to generate a network equipped with the desired cluster(s), with such a synthetical structure being furthermore perfectly reflected in the modular organization of the network's functioning. Our results solve a relevant problem of reverse engineering, and are of generic application in all cases where a desired parallel functioning needs to be blueprinted.

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P. Khanra, S. Ghosh, D. Aleja, K. Alfaro-Bittner, G. Contreras-Aso, R. Criado, M. Romance, S. Boccaletti, P. Pal, C. Hens. 2023-02-21. Endowing networks with desired symmetries and modular behavior. https://arxiv.org/abs/2302.10548

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