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

TitleSolving Subset Sum in Linear Time by Using Tissue P Systems with Cell Division
Publication TypeJournal Papers
Year of Publication2007
AuthorsDíaz-Pernil, D., Gutiérrez-Naranjo M. A., Pérez-Jiménez M. J., & Riscos-Núñez A.
Journal TitleLecture Notes in Computer Science
PublisherSpringer
Place PublishedAmsterdam, The Netherlands
Volume4527
Pages170-179
Abstract

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.

URLhttp://www.springerlink.com/index/q64n502j641026nu.pdf
ISSN Number0302-9743
DOI10.1007/978-3-540-73053-8