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.
@article{arxiv.2510.27488,
title = {Constructing directed networks with a desired minimum balanced coloring},
author = {Jonathan Martinez and Teresa Radice and Francesco Sorrentino},
journal= {arXiv preprint arXiv:2510.27488},
year = {2025}
}