Cage order $n(9,16)$

The order of a $(9,16)$-cage, a $9$-regular graph of girth $16$ with the fewest possible vertices.

Lower bound: $4793490$ (4,793,490) Verified (not in the literature)
Upper bound: Unknown

Verified bounds

Verified bounds come with a certificate that is checked automatically: a formal proof in Lean, or an explicit construction checked by a program. Submit a certificate.

Lower bound: $4793490$ (4,793,490) Lean proof
cage-9-16-lower-4793490, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.