Fast wins in n-in-a-row games

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• Mark Walters (Queen Mary London)
• Thursday 06 November 2014, 14:30-15:30
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

The n-in-a-row game is a Maker/Breaker game played on the points of Z^2. Each player takes it in turns to pick a point and Maker wins if he gets n consecutive points on a line with any slope. In the fast variant then rather than picking one point each turn each player picks t points on the t-th turn. Obviously maker can win this game by time n, but can he win any sooner? We answer this and give a much stronger result.

This is joint work with Joshua Erde.

This talk is part of the Combinatorics Seminar series.

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