Ponencia
An Optimal Frontier of the Efficiency of Tissue P Systems with Cell Division
Autor/es | Porreca, Antonio E.
Murphy, Niall Pérez Jiménez, Mario de Jesús |
Departamento | Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial |
Fecha de publicación | 2012 |
Fecha de depósito | 2016-02-04 |
Publicado en |
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ISBN/ISSN | 978-84-940056-6-4 |
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 ... 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. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía |
Identificador del proyecto | TIN2009-13192
P08 – TIC 04200 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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