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arXiv · 1704.05211

Results on Pattern Avoidance Games

P. A. CrowdMath
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Abstract

A zero-one matrix $A$ contains another zero-one matrix $P$ if some submatrix of $A$ can be transformed to $P$ by changing some ones to zeros. $A$ avoids $P$ if $A$ does not contain $P$. The Pattern Avoidance Game is played by two players. Starting with an all-zero matrix, two players take turns changing zeros to ones while keeping $A$ avoiding $P$. We study the strategies of this game for some patterns $P$. We also study some generalizations of this game.

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P. A. CrowdMath. 2017-04-18. Results on Pattern Avoidance Games. https://arxiv.org/abs/1704.05211

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