# combinatorial nullstellensatz

## 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.

## Combiantorial Nullstellensätze (in Hungarian)

Generalizations and applications of Alon's Nullstellensatz are discussed. Several proof techniques are collected, and a common generalization of two Nullstellensätze is given (though retrospectively this result is not useful at all).