The Chooser-Picker 7-in-a-row-game
Combinatorics
2010-04-15 v1
Abstract
One of the main objective of this paper is to relate Beck's conjecture for k-in-a-row games. The conjecture states that playing on the same board Picker is better off in a Chooser-Picker game than the second player in the Maker-Breaker version. It was shown that the 8-in-a-row game is a blocking draw that is a Breaker win. To give the outcome of 7-, or 6-in-a-row-games is hopeless, but these games are widely believed to be Breaker's win. If both conjectures hold, Picker must win the Chooser-Picker version of the 7-in-a-row game, and that is what we prove.
Cite
@article{arxiv.1004.2460,
title = {The Chooser-Picker 7-in-a-row-game},
author = {András Csernenszky},
journal= {arXiv preprint arXiv:1004.2460},
year = {2010}
}