combinatorial game

A note on the Erdős-Selfridge potential

The following small result has been sitting untouched in my research folder since December, 2014. As I have not been able to produce other interesting results in the field it has remained unpublished until now.

Seating couples and Tic-Tac-Toe

We partially solve an additive combinatorial problem and then use it to construct optimal pairing strategies for certain generalised Tic-Tac-Toe games.