Cage order $n(6,16)$

The order of a $(6,16)$-cage, a $6$-regular graph of girth $16$ with the fewest possible vertices.

Lower bound: $195312$ (195,312) 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: $195312$ (195,312) Lean proof
cage-6-16-lower-195312, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.