Degree-diameter problem $N(3,8)$
The largest possible number of vertices in a graph of maximum degree $3$ and diameter $8$.
Lower bound:
$360$
Upper bound:
Unknown
Updates
-
2001-05-25
Lower bound: $330$
Exoo, G. (2001). A family of graphs and the degree/diameter problem. Journal of Graph Theory, 37(2), 118-124. -
2018
Lower bound: $360$
Jianxiang Chen, 2018
[via Table of the largest known graphs of a given diameter and maximal degree - Wikipedia]