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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Díaz–Pernil, D.: Sistemas P de Tejido: Formalización y Eficiencia Computacional. PhD Thesis, University of Seville (2008)
Díaz–Pernil, D., Gutiérrez–Naranjo, M.A., Pérez–Jiménez, M.J., Riscos–Núñez, A.: A uniform family of tissue P system with cell division solving 3-COL in a linear time. Theoretical Computer Science 404, 76–87 (2008)
Díaz–Pernil, D., Gutiérrez–Naranjo, M.A., Pérez–Jiménez, M.J., Riscos–Núñez, A.: Solving Subset Sum in linear time by using tissue P systems with cell division. In: Mira, J., Álvarez, J.R. (eds.) IWINAC 2007. LNCS, vol. 4527, pp. 170–179. Springer, Heidelberg (2007)
Bernardini, F., Gheorghe, M.: Cell Communication in Tissue P Systems and Cell Division in Population P Systems. Soft Computing 9(9), 640–649 (2005)
Freund, R., Păun, G., Pérez-Jiménez, M.J.: Tissue P Systems with Channel States. Theoretical Computer Science 330, 101–116 (2005)
Krishna, S.N., Lakshmanan, K., Rama, R.: Tissue P Systems with Contextual and Rewriting Rules. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 339–351. Springer, Heidelberg (2003)
Martín Vide, C., Pazos, J., Păun, G., Rodríguez Patón, A.: A New Class of Symbolic Abstract Neural Nets: Tissue P Systems. In: H. Ibarra, O., Zhang, L. (eds.) COCOON 2002. LNCS, vol. 2387, pp. 290–299. Springer, Heidelberg (2002)
Martín Vide, C., Pazos, J., Păun, G., Rodríguez Patón, A.: Tissue P systems. Theoretical Computer Science 296, 295–326 (2003)
Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division. Journal of Automata, Languages and Combinatorics 11(4), 423–434 (2006)
Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)
Păun, G.: Membrane Computing. An Introduction. Springer, Berlin (2002)
Păun, A., Păun, G.: The power of communication: P systems with symport/antiport. New Generation Computing 20(3), 295–305 (2002)
Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Tissue P System with cell division. International Journal of Computers, Communications & Control III (3), 295–303 (2008)
P systems web page, http://ppage.psystems.eu/
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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)