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

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish
Article number054309
JournalPhysical Review E
Issue number5
StatePublished - Nov 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023 American Physical Society.


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.

FundersFunder number
Universidad Rey Juan CarlosPREDOC-21-026-2164
European Regional Development Fund
Agencia Estatal de Investigación
University of the EastM1993, IFA17-PH193


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