Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

Date and Time: Thursday, February 26, 2009, 12:15 pm

Duration: This information is not available in the database

Location: CAB G51

Speaker: Viola Mészáros (Charles Univ., Prague)

The Pizza Problem

Bob cuts a pizza into slices of not necessarily equal size and shares it with Alice by alternately taking turns. One slice is taken in each turn. The first turn is Alice's. She may choose any of the slices. In all other turns only those slices can be chosen that have a neighbor slice already eaten. Peter Winkler conjectured that Alice could always gain 4/9 of the pizza. The goal of the talk will be to show a strategy for Alice to obtain 4/9 of the pizza. This is best possible, that is, there is a cutting and a strategy for Bob to get 5/9 of the pizza.


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