Designing Laplacian flows for opinion clustering in structurally balanced and unbalanced networks
<|reference_start|>Designing Laplacian flows for opinion clustering in structurally balanced and unbalanced networks: In this work, we consider a group of n agents whose interactions can be represented using unsigned or signed structurally balanced graphs or a special case of structurally unbalanced graphs. A Laplacian-based model is proposed to govern the evolution of opinions. The objective of the paper is to analyze the proposed opinion model on the opinion evolution of the agents. Further, we also determine the conditions required to apply the proposed Laplacian-based opinion model. Finally, some numerical results are shown to validate these results.<|reference_end|>
@article{thota2024designing,
    title={Designing Laplacian flows for opinion clustering in structurally
  balanced and unbalanced networks},
    author={Vishnudatta Thota, Twinkle Tripathy and Debasattam Pal},
    journal={arXiv preprint arXiv:2408.07559},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.07559},
    primaryClass={eess.SY cs.SY}
}