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Solving Graph Problems by P Systems with Restricted Elementary Active Membranes

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Aspects of Molecular Computing

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2950))

Abstract

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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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Academy of Science of Moldova, Str. Academiei 5, Chişinău, MD 2028, Moldova

    Artiom Alhazov

  2. Research Group on Mathematical Linguistics, Rovira i Virgili University, Pl. Imperial Tàrraco 1, 43005, Tarragona, Spain

    Artiom Alhazov, Carlos Martín-Vide & Linqiang Pan

  3. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, People’s Republic of China

    Linqiang Pan

Authors
  1. Artiom Alhazov
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  2. Carlos Martín-Vide
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  3. Linqiang Pan
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Editor information

Editors and Affiliations

  1. University of South Florida, 4202 E. Fowler Ave, 33620, Tampa, Fl, USA

    Nataša Jonoska

  2. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucureşti, Romania

    Gheorghe Păun

  3. Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

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© 2003 Springer-Verlag Berlin Heidelberg

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Alhazov, A., Martín-Vide, C., Pan, L. (2003). Solving Graph Problems by P Systems with Restricted Elementary Active Membranes. In: Jonoska, N., Păun, G., Rozenberg, G. (eds) Aspects of Molecular Computing. Lecture Notes in Computer Science, vol 2950. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24635-0_1

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  • DOI: https://doi.org/10.1007/978-3-540-24635-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20781-8

  • Online ISBN: 978-3-540-24635-0

  • eBook Packages: Springer Book Archive

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