A universal tournament of order , or
-universal tournament, is a tournament
containing every tournament on
vertices as an induced
subgraph. Write
for the smallest number of vertices
in such a tournament.
Verma (2026) gave an explicit tournament on 14 vertices and checked by exhaustive computation that
it is 7-universal. Together with the known lower bound
this gives ,
improving the previous upper bound of 15 but not determining
exactly.