Solving the Independent Set Problem by Using Tissue-Like P Systems with Cell Division

  • Authors:
  • Daniel Díaz-Pernil;Miguel A. Gutiérrez-Naranjo;Mario J. Pérez-Jiménez;Agustín Riscos-Núñez

  • Affiliations:
  • Research Group on Computational Topology and Applied Mathematics,;Research Group on Natural Computing, University of Sevilla, Sevilla, Spain 41012;Research Group on Natural Computing, University of Sevilla, Sevilla, Spain 41012;Research Group on Natural Computing, University of Sevilla, Sevilla, Spain 41012

  • Venue:
  • IWINAC '09 Proceedings of the 3rd International Work-Conference on The Interplay Between Natural and Artificial Computation: Part I: Methods and Models in Artificial and Natural Computation. A Homage to Professor Mira's Scientific Legacy
  • Year:
  • 2009

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Abstract

Tissue-like P systems with cell division is a computing model in the framework of Membrane Computing inspired by the intercellular communication and neuronal synaptics. It considers the cells as unit processors and the computation is performed by the parallel application of given rules. Division rules allow an increase of the number of cells during the computation. We present a polynomial-time solution for the Independent Set problem via a uniform family of such systems.