A New Application for Room Squares: Tournaments with Internal Referees

Abstract

The purpose of this note is to present a new "real world" application of Room squares. Almost no theory is presented and some will note that our treatment is rather naive. In particular not even the idea of starters, which would make the presentation more elegant, is explicitly defined. We choose this way to hold the attention and arouse the curiosity of those who never heard of this combinatorial structure. An interesting theory, however, arises from the problem in this article. This will be developed elsewhere.