Solving Graph Problems by P Systems with Restricted Elementary Active Membranes

  • Artiom Alhazov
  • Carlos Martín-Vide
  • Linqiang Pan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2950)


P systems are parallel molecular computing models based on processing multisets of objects in cell-like membrane structures. In this paper we give membrane algorithms to solve the vertex cover problem and the clique problem in linear time with respect to the number of vertices and edges of the graph by recognizing P systems with active membranes using 2-division. Also, the linear time solution of the vertex cover problem is given using P systems with active membranes using 2-division and linear resources.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Artiom Alhazov
    • 1
    • 2
  • Carlos Martín-Vide
    • 2
  • Linqiang Pan
    • 2
    • 3
  1. 1.Institute of Mathematics and Computer ScienceAcademy of Science of MoldovaChişinăuMoldova
  2. 2.Research Group on Mathematical LinguisticsRovira i Virgili UniversityTarragonaSpain
  3. 3.Department of Control Science and EngineeringHuazhong University of Science and TechnologyWuhanPeople’s Republic of China

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