Hex implies Y

We give a simple and short proof of the fact that the board game of Y cannot end in a draw. Our proof, based on the analogous result for the game of Hex (the so-called 'Hex Theorem'), is purely topological and does not depend on the shape of the board. We also include a simplified version...

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Bibliographic Details
Main Author Prytuła, Tomasz
Format Journal Article
LanguageEnglish
Published 04.02.2021
Subjects
Mathematics - Combinatorics
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Summary:We give a simple and short proof of the fact that the board game of Y cannot end in a draw. Our proof, based on the analogous result for the game of Hex (the so-called 'Hex Theorem'), is purely topological and does not depend on the shape of the board. We also include a simplified version of Gale's proof of Hex Theorem.
DOI:10.48550/arxiv.2102.02621