# How to eat 4/9 of a pizza

• Published in 2011
In the collections
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.

## Other information

arxivId
0812.2870
journal
Discrete Mathematics
pages
1--15

### BibTeX entry

@article{Knauer2011,
title = {How to eat 4/9 of a pizza},
author = {Knauer, Kolja and Micek, Piotr and Ueckerdt, Torsten},
url = {http://arxiv.org/abs/0812.2870 http://www.sciencedirect.com/science/article/pii/S0012365X11001154 http://arxiv.org/pdf/0812.2870v4},
urldate = {2012-12-12},
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.},
comment = {},
archivePrefix = {arXiv},
arxivId = {0812.2870},
eprint = {0812.2870},
journal = {Discrete Mathematics},
month = {dec},
pages = {1--15},
year = 2011,
primaryClass = {cs.DM},
collections = {Easily explained,Protocols and strategies,Puzzles}
}