Constructing directed networks with a desired minimum balanced coloring

TL;DR

This paper presents a systematic algorithm for constructing directed networks with specific symmetry properties, allowing controlled studies of symmetry-driven dynamics in various complex systems.

Contribution

It introduces a novel method to generate directed networks with prescribed symmetries by expanding from a quotient network, enabling tailored network modeling.

Findings

Enables synthesis of networks with desired symmetry structures.

Facilitates studies of symmetry-driven phenomena like cluster synchronization.

Provides a systematic approach for network construction with symmetry control.

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.