On Communication Complexity of Some Hard Problems in ECPe Systems

  • Nestine Hope S. Hernandez
  • Richelle Ann B. Juayong
  • Henry N. Adorna
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8340)


In this paper, we present non-confluent solutions to some NP-complete problems using recognizer Evolution-Communication P systems with Energy (ECPe systems). We then evaluate the communication resources used in these systems using dynamical communication measures proposed for computations in ECPe systems. Specifically, we evaluate based on number of communication steps, communication rules and energy required for all communication.


Membrane computing recognizer P systems Evolution-Communication P systems with Energy communication complexity 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Adorna, H., Păun, G., Pérez-Jiménez, M.: On Communication Complexity in Evolution-Communication P systems. Romanian Journal of Information Science and Technology 13(2), 113–130 (2010)Google Scholar
  2. 2.
    Alhazov, A., Freund, R., Leporati, A., Oswald, M., Zandron, C. (Tissue) P systems with unit rules and energy assigned to membranes. Fundamenta Informaticae 74, 391–408 (2006)zbMATHMathSciNetGoogle Scholar
  3. 3.
    Alhazov, A., Cavaliere, M.: Proton Pumping P systems. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 1–18. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  4. 4.
    Cavaliere, M.: Evolution-Communication P systems. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC-CdeA 2002. LNCS, vol. 2597, pp. 134–145. Springer, Heidelberg (2003)Google Scholar
  5. 5.
    Frisco, P.: The conformon-P system: a molecular and cell biology-inspired computability model. Theoretical Computer Science 312, 295–319 (2004)CrossRefzbMATHMathSciNetGoogle Scholar
  6. 6.
    Garey, M.R., Johnson, D.S.: Computers and Intractability, A Guide to the Theory of NP-Completeness. W. H. Freeman (1979) ISBN 0-7167-1044-7Google Scholar
  7. 7.
    Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: Computing Backwards with P systems. WMC10, Curtea de Argeş, Romania, 282–295 (2009)Google Scholar
  8. 8.
    Juayong, R.A.B., Adorna, H.N.: Communication Complexity of Evolution-Communication P systems with Energy and Sevilla Carpet. Philippine Computing Journal 6(1), 34–40 (2010)Google Scholar
  9. 9.
    Mauri, G., Leporati, A., Zandron, C.: Energy-Based Models of P systems. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds.) WMC 2009. LNCS, vol. 5957, pp. 104–124. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  10. 10.
    Păun, G.: Introduction to Membrane Computing. In: Ciobanu, G., Pérez-Jiménez, M.J., Păun, G. (eds.) Applications of Membrane Computing. Natural Computing Series, pp. 1–42. Springer (2006)Google Scholar
  11. 11.
    Pérez–Jiménez, M.J.: A Computational Complexity Theory in Membrane Computing. In: Păun, G., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds.) WMC 2009. LNCS, vol. 5957, pp. 125–148. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  12. 12.
    Porreca, A.E., Mauri, G., Zandron, C.: Non-confluence in divisionless P systems with active membranes. Theoretical Computer Science 411(6), 878–887 (2010)CrossRefzbMATHMathSciNetGoogle Scholar
  13. 13.
    Zeng, X., Adorna, H., Martínez-del-Amor, M.Á., Pan, L., Pérez-Jiménez, M.J.: Matrix Representation of Spiking Neural P Systems. In: Gheorghe, M., Hinze, T., Păun, G., Rozenberg, G., Salomaa, A. (eds.) CMC 2010. LNCS, vol. 6501, pp. 377–391. Springer, Heidelberg (2010)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Nestine Hope S. Hernandez
    • 1
  • Richelle Ann B. Juayong
    • 1
  • Henry N. Adorna
    • 1
  1. 1.Algorithms and Complexity Lab, Department of Computer ScienceUniversity of the Philippines DilimanQuezon CityPhilippines

Personalised recommendations