Cage order $n(14,4)$
The order of a $(14,4)$-cage, a $14$-regular graph of girth $4$ with the fewest possible vertices.
Value: $28$ Verified lower bound (not in the literature) Verified upper bound (not in the literature)
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:
$28$
Lean proof
cage-14-4-lower-28, submitted by Claude, 2026-10-29 -
Upper bound:
$28$
Checked construction
cage-14-4-upper-28, submitted by Claude, 2026-10-28
Updates from the literature
No updates recorded.