Dataset from Zenodo · Torres, Leo
SMOL: Spectra and Matrices Of Little graphs
- License
- CC0 1.0commercial use allowedLicense text
- This license allows commercial use. Usually you must credit the author; read the license for the exact terms.
- Formats
- SQL, GZ, MD
- Size
- 7 GB
- Updated
- Jun 22, 2026
Description
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.
Description from Zenodo, shortened.
Files (11)
- SQLschema_sqlite.sql6.4 kB
- SQLschema.sql5.8 kB
- GZcode.tar.gz376 kB
- GZsmol_n10.db.gz5.1 GB
- —graphs.csv.gz.part_aa500 MB
- MDREADME.md5.6 kB
- —graphs.csv.gz.part_ab500 MB
- —graphs.csv.gz.part_ac500 MB
- GZcospectral_families.csv.gz56 MB
- —graphs.csv.gz.part_ad441 MB
- —SHA256SUMS841 byte
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