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Seminar "Geometry and Combinatorics"

Envy-free division, new and very new.

by Prof. Gaiane Panina (St.Pb department of Steklov Inst)

Europe/Moscow
413 (14 line )

413

14 line

Description

We prove several versions of D. Gale's theorem on envy-free division of a cake.
Our main concern is to present positive results if it is allowed to prefer a degenerate tile (which is forbidden in Gale's theorem).

The novelty in approach is that we use here configuration spaces that arise in Tverberg type and N. Alon's necklace splitting type
theorems.

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