Interesting Esoterica

How to eat 4/9 of a pizza

Article by Knauer, Kolja and Micek, Piotr and Ueckerdt, Torsten
  • Published in 2011
  • Added on
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.

Links

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}
}