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 designing a desired set of clusters and are of generic application in all cases where a desired parallel functioning needs to be blueprinted.
| Original language | English |
|---|---|
| Article number | 054309 |
| Journal | Physical Review E |
| Volume | 108 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 2023 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2023 American Physical Society.
Funding
R.C. and M.R. acknowledge funding from Projects No. PGC2018-101625-B-I00 (Spanish Ministry, AEI/FEDER, UE) and No. M1993 (URJC Grant). C.H. is financially supported by the INSPIRE-Faculty Grant (Code: IFA17-PH193). G.C.-A. acknowledges funding from URJC Grant PREDOC-21-026-2164.
| Funders | Funder number |
|---|---|
| Universidad Rey Juan Carlos | PREDOC-21-026-2164 |
| European Regional Development Fund | |
| Agencia Estatal de Investigación | |
| University of the East | M1993, IFA17-PH193 |