Extremal combinatorics is the study of the size that a certain collection of objects must have in order to certainly satisfy a property. Reaction systems are a recent formalism for computation inspired by chemical reactions. This work is a first contribution to the study of the behaviour of large reaction systems by means of extremal combinatorics. We defined several different properties that capture some basic behaviour of a reaction system and we prove that they must necessarily be satisfied by large enough systems. Explicit bounds and formulae are also provided.

Extremal combinatorics of reaction systems

Manzoni Luca
2014-01-01

Abstract

Extremal combinatorics is the study of the size that a certain collection of objects must have in order to certainly satisfy a property. Reaction systems are a recent formalism for computation inspired by chemical reactions. This work is a first contribution to the study of the behaviour of large reaction systems by means of extremal combinatorics. We defined several different properties that capture some basic behaviour of a reaction system and we prove that they must necessarily be satisfied by large enough systems. Explicit bounds and formulae are also provided.
2014
978-3-319-04920-5
978-3-319-04921-2
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2947956
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