Constructing directed networks with a desired minimum balanced coloring

2025/10/31 by Martinez, Jonathan, Radice, Teresa, Sorrentino, Francesco
#Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Physics and Society (physics.soc-ph)

paper · doi:10.48550/arxiv.2510.27488

Abstract

This work introduces a systematic algorithm for generating directed networks with prescribed symmetries by constructing expansions from a given quotient network. The method enables researchers to synthesize realistic network models with controllable symmetry structure, facilitating studies of symmetry-driven dynamics such as cluster synchronization in biological, social, and technological systems.

Citations

• Symmetries of Living Systems: Symmetry Fibrations and Synchronization in Biological Networks
• Controlling symmetries and clustered dynamics of complex networks
• Analyzing synchronized clusters in neuron networks
• Generating Graphs with Symmetry

Related

• Generating Graphs with Symmetry
• Controlling symmetries and clustered dynamics of complex networks
• Endowing networks with desired symmetries and modular behavior
• Computing approximate symmetries of complex networks
• Approximate Network Symmetry