# A Prospective Method for the Dynamic Transformation of Structural Balance in Fully Signed Networks

**Authors:** Zhanyong Jiao, Jiarui Fan, Ruochen Zhang, Dinghan Duan

PMC · DOI: 10.3390/e28010085 · Entropy · 2026-01-11

## TL;DR

This paper introduces a new method to dynamically balance relationships in fully signed networks using a memetic algorithm.

## Contribution

The novel contribution is a mathematical framework and memetic algorithm for optimizing structural balance with node attributes.

## Key findings

- The proposed method achieves structural balance with minimal cost in fully signed networks.
- Evaluations on synthetic and real-world networks show the method's effectiveness and efficiency.

## Abstract

Structural balance in fully signed networks, integrating both individual attributes and relationships, represents a critical challenge in social computing; however, its dynamic transformation remains underexplored. This study extends structural balance theory by incorporating node attributes and formulating a mathematical framework for optimizing balance dynamics in fully signed networks. A memetic algorithm is designed to achieve structural balance with minimal cost. Evaluations on both synthetic and real-world networks demonstrate the proposed method’s effectiveness, efficiency, and social interpretability.

## Full text

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## Figures

12 figures with captions in the complete paper: https://tomesphere.com/paper/PMC12839812/full.md

## References

35 references — full list in the complete paper: https://tomesphere.com/paper/PMC12839812/full.md

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Source: https://tomesphere.com/paper/PMC12839812