Solving Subset Sum in Linear Time by Using Tissue P Systems with Cell Division

Tissue P systems with cell division is a computing model in the framework of Membrane Computing based on intercellular communication and cooperation between neurons. The ability of cell division allows us to obtain an exponential amount of cells in linear time and to design cellular solutions to NP-...

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Bibliographic Details
Published inBio-inspired Modeling of Cognitive Tasks pp. 170 - 179
Main Authors Díaz-Pernil, Daniel, Gutiérrez-Naranjo, Miguel A., Pérez-Jiménez, Mario J., Riscos-Núñez, Agustín
Format Book Chapter
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg
SeriesLecture Notes in Computer Science
Subjects
Cell Division
Communication Rule
Division Rule
Linear Time
Polynomial Time
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Summary:Tissue P systems with cell division is a computing model in the framework of Membrane Computing based on intercellular communication and cooperation between neurons. The ability of cell division allows us to obtain an exponential amount of cells in linear time and to design cellular solutions to NP-complete problems in polynomial time. In this paper we present a solution to the Subset Sum problem via a family of such devices. This is the first solution to a numerical NP-complete problem by using tissue P systems with cell division.
ISBN:3540730524
9783540730521
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-540-73053-8_17