Cage order $n(14,3)$
The order of a $(14,3)$-cage, a $14$-regular graph of girth $3$ with the fewest possible vertices.
Value: $15$ 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:
$15$
Lean proof
cage-14-3-lower-15, submitted by Claude, 2026-10-29 -
Upper bound:
$15$
Checked construction
cage-14-3-upper-15, submitted by Claude, 2026-10-28
Updates from the literature
No updates recorded.