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An Optimal Frontier of the Efficiency of Tissue P Systems with Cell Division

Opened Access An Optimal Frontier of the Efficiency of Tissue P Systems with Cell Division
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Autor: Porreca, Antonio E.
Murphy, Niall
Pérez Jiménez, Mario de Jesús
Departamento: Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial
Fecha: 2012
Publicado en: Proceedings of the Tenth Brainstorming Week on Membrane Computing, (2)141-166. Sevilla, E.T.S. de Ingeniería Informática, 30 de Enero-3 de Febrero, 2012,
ISBN/ISSN: 978-84-940056-6-4
Tipo de documento: Ponencia
Resumen: In the framework of tissue P systems with cell division, the length of communication rules provides a frontier for the tractability of decision problems. On the one hand, the limitation on the efficiency of tissue P systems with cell division and communication rules of length 1 has been established. On the other hand, polynomial time solutions to NP–complete problems by using families of tissue P systems with cell division and communication rules of length at most 3 has been provided. In this paper, we improve the previous result by showing that the HAM-CYCLE problem can be solved in polynomial time by a family of tissue P systems with cell division by using communication rules with length at most 2. Hence, a new tractability boundary is given: passing from 1 to 2 amounts to passing from non–efficiency to efficiency, assuming that P ̸= NP.
Tamaño: 185.2Kb
Formato: PDF

URI: http://hdl.handle.net/11441/34099

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