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

Fri, 05/25/2012 - 09:58 — manu
TitleAn Optimal Frontier of the Efficiency of Tissue P Systems with Cell Division
Publication TypeConference Contributions
Year of Publication2012
AuthorsPorreca, A. E., Murphy N., & Pérez-Jiménez M. J.
Conference NameTenth Brainstorming Week on Membrane Computing
Volume TitleProceedings of the Tenth Brainstorming Week on Membrane Computing
PublisherFénix Editora
Place PublishedSeville, Spain
VolumeII
Pages141-166
Date Published02/2012
Abstract

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 is different from NP.
URLhttp://www.gcn.us.es/10BWMC/10BWMCvolII/papers/mario-enrico-niall-revised.pdf