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A Linear Solution of Subset Sum Problem by Using Membrane Creation

  • M. A. Gutiérrez-Naranjo
  • M. J. Pérez-Jiménez
  • F. J. Romero-Campero
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3561)

Abstract

Membrane Computing is a branch of Natural Computing which starts from the assumption that the processes taking place in the compartmental structure of a living cell can be interpreted as computations. In this framework, the solution of NP problems is obtained by generating an exponential amount on workspace in polynomial time and using parallelism to check simultaneously all the candidates to solution. We present a solution to the Subset Sum problem for P systems where new membranes are generated from objects.

Keywords

Natural Computing Membrane Computing Cellular Complexity Classes Subset Sum Problem 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • M. A. Gutiérrez-Naranjo
    • 1
  • M. J. Pérez-Jiménez
    • 1
  • F. J. Romero-Campero
    • 1
  1. 1.Research Group on Natural Computing, Department of Computer Science and Artificial IntelligenceUniversity of SevillaSevillaSpain

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