A Tissue P Systems Based Uniform Solution to Tripartite Matching Problem

Authors:
Yunyun Niu;Linqiang Pan;Mario J. Pérez-Jiménez;Miquel Rius Font
Affiliations:
Key Laboratory of Image Processing and Intelligent Control, Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China. niuyunyun1003@163.com ...;(Correspd.) Key Laboratory of Image Processing and Intelligent Control, Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China. niuyunyun ...;Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, 41012 Seville, Spain. marper@us.es;Department of Applied Mathematics IV, Universitat Politécnica de Catalunya, Edifici C3, Despatx 016, Av. del Canal Olimpic s/n, 08860 Casteldefels, Spain. mrius@ma4.upc.edu
Venue:
Fundamenta Informaticae
Year:
2011

Citing 10
Cited 0

Computing with membranes

Journal of Computer and System Sciences
Membrane Computing: An Introduction

Membrane Computing: An Introduction
Tissue P systems

Theoretical Computer Science
Solving a PSPACE-complete problem by recognizing P systems with restricted active membranes

Fundamenta Informaticae
Solving multidimensional 0--1 knapsack problem by P systems with input and active membranes

Journal of Parallel and Distributed Computing
A Linear--time Tissue P System Based Solution for the 3--coloring Problem

Electronic Notes in Theoretical Computer Science (ENTCS)
Solving Subset Sum in Linear Time by Using Tissue P Systems with Cell Division

IWINAC '07 Proceedings of the 2nd international work-conference on The Interplay Between Natural and Artificial Computation, Part I: Bio-inspired Modeling of Cognitive Tasks
The Oxford Handbook of Membrane Computing

The Oxford Handbook of Membrane Computing
Uniform solution of QSAT using polarizationless active membranes

MCU'07 Proceedings of the 5th international conference on Machines, computations, and universality
On the power of dissolution in p systems with active membranes

WMC'05 Proceedings of the 6th international conference on Membrane Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

A tissue P system with cell division is a computing model which has two basic features: intercellular communication and the ability of cell division. The ability of cell division allows us to obtain an exponential amount of cells in linear time and to design cellular solutions to computationally hard problems in polynomial time. In this work we present an efficient solution to the tripartite matching problem by a family of such devices. This solution leads to an interesting open problem whether tissue P systems with cell division and communication rules of length 2 can solve NP-complete problems. An answer to this open problem will provide a borderline between efficiency and non-efficiency in terms of the lengths of communication rules.