Degree-diameter problem $N(12,10)$
The largest possible number of vertices in a graph of maximum degree $12$ and diameter $10$.
Lower bound:
$1506252500$
(1,506,252,500)
Upper bound:
Unknown
Updates
-
2008
Lower bound: $1506252500$
(1,506,252,500)
Loz, E., & Sirán, J. (2008). New record graphs in the degree-diameter problem. Australasian Journal of Combinatorics, 41, 63.
[via Table of the largest known graphs of a given diameter and maximal degree - Wikipedia]