Endowing networks with desired symmetries and modular behavior
Adaptation and Self-Organizing Systems
2023-02-22 v1
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.
Cite
@article{arxiv.2302.10548,
title = {Endowing networks with desired symmetries and modular behavior},
author = {P. Khanra and S. Ghosh and D. Aleja and K. Alfaro-Bittner and G. Contreras-Aso and R. Criado and M. Romance and S. Boccaletti and P. Pal and C. Hens},
journal= {arXiv preprint arXiv:2302.10548},
year = {2023}
}
Comments
* Equal Contribution, 6 pages