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

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Methods and Models in Artificial and Natural Computation. A Homage to Professor Mira’s Scientific Legacy (IWINAC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5601))

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.

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Author information

Authors and Affiliations

  1. Research Group on Computational Topology and Applied Mathematics, Spain

    Daniel Díaz-Pernil

  2. Research Group on Natural Computing, University of Sevilla, Avda. Reina Mercedes s/n, 41012, Sevilla, Spain

    Miguel A. Gutiérrez-Naranjo, Mario J. Pérez-Jiménez & Agustín Riscos-Núñez

Authors
  1. Daniel Díaz-Pernil
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  2. Miguel A. Gutiérrez-Naranjo
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  3. Mario J. Pérez-Jiménez
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  4. Agustín Riscos-Núñez
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Editor information

Editors and Affiliations

  1. Dapartamento de Inteligencia Artificial, Universidad Nacional de Educación a Distancia, E.T.S. de Ingeniería Informática, Juan del Rosal, 16, 28040, Madrid, Spain

    José Mira  & Félix de la Paz  & 

  2. Departamento de Electrónica, Tecnología de Computadores y Proyectos, Universidad Politécnica de Cartagena, Pl. Hospital, 1, 30201, Cartagena, Spain

    José Manuel Ferrández

  3. Departamento de Inteligencia Artificial, Universidad Nacional de Educación a Distancia, E.T.S. de Ingeniería Informática, Juan del Rosal, 16, 28040, Madrid, Spain

    José R. Álvarez

  4. Departamento de Electrónica, Tecnología de Computadoras y Proyectos, Universidad Politécnica de Cartagena, Pl. Hospital, 1, 30201, Cartagena

    F. Javier Toledo

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Díaz-Pernil, D., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A. (2009). Solving the Independent Set Problem by Using Tissue-Like P Systems with Cell Division. In: Mira, J., Ferrández, J.M., Álvarez, J.R., de la Paz, F., Toledo, F.J. (eds) Methods and Models in Artificial and Natural Computation. A Homage to Professor Mira’s Scientific Legacy. IWINAC 2009. Lecture Notes in Computer Science, vol 5601. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02264-7_23

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  • DOI: https://doi.org/10.1007/978-3-642-02264-7_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02263-0

  • Online ISBN: 978-3-642-02264-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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