New approach on optimal play in Hex game

Cui Xiu-feng · Jisuanji yingyong yanjiu · 2010

Hex game Hex(n) is a two person game played on an n×n board of hexagonal tiles,in which the players take turns trying to construct paths from one side of the board to the other.There exists a winning strategy for the first player.Let δ(n) be the minimum number of moves that player one must make to guarantee a win in Hex(n),Garikai Campbell proved δ(n)n for any n≥4 by studying another question.In this note,gave a directed and much simpler proof based on a new approach,based on what proved δ(5)=7 by computing.

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