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A Linear Solution for Subset Sum Problem with Tissue P Systems with Cell Division

 

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Opened Access A Linear Solution for Subset Sum Problem with Tissue P Systems with Cell Division
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Author: Díaz Pernil, Daniel
Gutiérrez Naranjo, Miguel Ángel
Pérez Jiménez, Mario de Jesús
Riscos Núñez, Agustín
Department: Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial
Date: 2007
Published in: Proceedings of the Fifth Brainstorming Week on Membrane Computing, 113-130. Sevilla, E.T.S. de Ingeniería Informática, 29 de Enero-2 de Febrero, 2007
ISBN/ISSN: 9788461167760
Document type: Presentation
Abstract: Tissue P systems are a computing model in the framework of Membrane Computing where the tree-like membrane structure is replaced by a general graph. Recently, it has been shown that endowing these P systems with cell division, NP-complete problems can be solved in polynomial time. In this paper we present a solution to the Subset Sum problem via a family of such devices, and we also include the formal verification of such solution. This is the first solution to a numerical NP-complete problem by using tissue P systems with cell division.
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URI: http://hdl.handle.net/11441/38528

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