arXiv: cs.AI preprintsInternational5 November 2026
Constraint-Preserving Flow Matching for Spectral Graph Generation
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arXiv:2611.05436v1 Announce Type: cross Abstract: Spectral graph generation models graphs through the eigenvalues and eigenvectors of their Laplacians, providing a compact and continuous alternative to direct graph construction. However, these eigensystems must retain the structural properties of graph Laplacians. Existing approaches preserve eigenvector orthonormality but do not enforce the Laplacian nullspace constraint, potentially producing eigensystems inconsistent with Laplacian structure. To address this, we introduce Laplacian-Constrained Stiefel Flow Matching (LaSFM), which preserves
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