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How to eat 4/9 of a pizza (0812.2870v4)

Published 15 Dec 2008 in cs.DM and math.CO

Abstract: Given two players alternately picking pieces of a pizza sliced by radial cuts, in such a way that after the first piece is taken every subsequent chosen piece is adjacent to some previously taken piece, we provide a strategy for the starting player to get 4/9 of the pizza. This is best possible and settles a conjecture of Peter Winkler.

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