SMOL: Spectra and Matrices Of Little graphs

SMOL (Spectra and Matrices Of Little graphs) is a database of all 12,293,434 simple undirected graphs on up to 10 vertices (connected and disconnected), with exact cospectrality classifications for 16 graph matrices: adjacency, the three Laplacians, distance-based matrices, eccentricity, Yoon, non-backtracking, and non-k-cycling. Cospectrality is computed exactly for 14 of the 16 matrices from integer/rational characteristic polynomials rather than floating-point eigenvalues, eliminating precision errors that cause float-based enumerations to mis-count cospectral families. The dataset is provided as a SQLite database and per-table CSV exports with a documented schema.