# An extremal problem on trees and database theory

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1 Alfréd Rényi Institute of Mathematics 2 TUB - Technische Universität Berlin Berlin

Abstract : We consider an extremal problem on labelled directed trees and applications to database theory. Among others, we will show explicit keysystems on an underlying set of size $n$, that cannot be represented by a database of less than $2^{n1-c\cdot \log \log n - \log n}$ rows.

Keywords : relational database minimum matrix representation extremal problems labelled directed tree

Autor: Gyula O.H. Katona - Krisztián Tichler -

Fuente: https://hal.archives-ouvertes.fr/

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