Cage order $n(7,13)$
The order of a $(7,13)$-cage, a $7$-regular graph of girth $13$ with the fewest possible vertices.
Lower bound:
$65318$
(65,318)
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:
$65318$
(65,318)
Lean proof
cage-7-13-lower-65318, submitted by Claude, 2026-10-29 - Upper bound: None yet
Updates from the literature
No updates recorded.