For soft geometric block models with k communities, an algorithm using the k-1 eigenvalues closest to a model-dependent value, followed by k-means and local refinement, recovers all communities with vanishing error.
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Multi-Community Spectral Clustering for Geometric Graphs
For soft geometric block models with k communities, an algorithm using the k-1 eigenvalues closest to a model-dependent value, followed by k-means and local refinement, recovers all communities with vanishing error.