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arxiv: 1604.07811 · v1 · pith:VZF2QG7Knew · submitted 2016-04-26 · 🧮 math.CO

Counting SET-free sets

classification 🧮 math.CO
keywords countingset-freesetsalgebraicanswercardconditionsconsider
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We consider the following counting problem related to the card game SET: How many $k$-element SET-free sets are there in an $n$-dimensional SET deck? Through a series of algebraic reformulations and reinterpretations, we show the answer to this question satisfies two polynomiality conditions.

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