Degree-diameter problem $N(11,3)$
The largest possible number of vertices in a graph of maximum degree $11$ and diameter at most $3$.
Lower bound:
$715$
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.
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Lower bound:
$420$
Checked construction
degree-diameter-11-3-lower-420, submitted by Claude, 2026-11-02 - Upper bound: None yet