Spectral kernel dynamics on fixed-topology surface graphs require distinction dynamics to restore conservation, and retaining at least beta_0 + beta_1 modes under a spectral-ordering assumption preserves all Betti numbers.
Persistent homology for path planning in uncertain environments,
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Spectral Kernel Dynamics for Planetary Surface Graphs: Distinction Dynamics and Topological Conservation
Spectral kernel dynamics on fixed-topology surface graphs require distinction dynamics to restore conservation, and retaining at least beta_0 + beta_1 modes under a spectral-ordering assumption preserves all Betti numbers.