Degree-diameter problem $N(7,6)$
The largest possible number of vertices in a graph of maximum degree $7$ and diameter $6$.
Lower bound:
$12264$
(12,264)
Upper bound:
Unknown
Updates
-
2008
Lower bound: $11988$
(11,988)
Loz, E., & Sirán, J. (2008). New record graphs in the degree-diameter problem. Australasian Journal of Combinatorics, 41, 63.
[via The Degree Diameter Problem for General Graphs - Combinatorics Wiki] -
2024-06-27
Lower bound: $12264$
(12,264)
Comellas, F. (2024). Table of large graphs with given degree and diameter. arXiv preprint arXiv:2406.18994.
[via Table of the largest known graphs of a given diameter and maximal degree - Wikipedia]