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, and C. Hens
Phys. Rev. E 108, 054309 – Published 17 November 2023
PDFHTMLExport Citation

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 3 January 2023
  • Accepted 18 October 2023

DOI:https://doi.org/10.1103/PhysRevE.108.054309

©2023 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
ChaosSynchronization transition
  1. Physical Systems
Complex networks
Interdisciplinary PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

P. Khanra1,*, S. Ghosh2,*, D. Aleja3,4, K. Alfaro-Bittner3, G. Contreras-Aso3, R. Criado3, M. Romance3, S. Boccaletti3,5,6,7, P. Pal8, and C. Hens2,†

  • 1Department of Mathematics, State University of New York at Buffalo, Buffalo 14260, USA
  • 2Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology, Gachibowli, Hyderabad 500032, India
  • 3Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
  • 4Department of Internal Medicine, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 5CNR - Institute of Complex Systems, Via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy
  • 6Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141701, Russian Federation
  • 7Complex Systems Lab, Department of Physics, Indian Institute of Technology, Indore - Simrol, Indore 453552, India
  • 8Department of Mathematics, National Institute of Technology, Durgapur 713209, India

  • *These authors contributed equally to this work.
  • †Corresponding author: chittaranjanhens@gmail.com

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 108, Iss. 5 — November 2023

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required

Log In
Other Options
×

Download & Share

PDFExportReuse & Permissions
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search

Article Lookup

Paste a citation or DOI
Enter a citation
×