We investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods. We find that even a single effective topological neighbour suffices for significant order in a system with non-local topological interactions. We also explore topological information flow patterns and clustering dynamics using Hodge spectral entropy and mean Forman-Ricci curvature.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11371432 | PMC |
| http://dx.doi.org/10.1098/rsos.240794 | DOI Listing |
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