What are the rules regarding bracket changes on the day of the tournament when enough wrestlers scratch to leave only 2 participants in the bracket? On the day of the tournament are they required to rebracket for the best of two out of three?
In this case, it would be preferable for the tournament director to change the bracket into a best of three series; however, there are no rules that require it for invitational tournaments, so it is entirely at the tournament director's discretion.
The rules are a little different for state qualifying tournaments, which must rebracket in two instances: (1) into a round-robin if the number of wrestlers in a bracket drop below five, or (2) into a best two-of-three bracket if the number drops to only two competitors.