Solving Vertex Cover Problem by Means of Tissue P Systems with Cell Separation
Keywords:Membrane Computing, Tissue P System, Cell Separation, Vertex Cover
AbstractTissue P systems is a computing model in the framework of membrane computing inspired from intercellular communication and cooperation between neurons. Many different variants of this model have been proposed. One of the most important models is known as tissue P systems with cell separation. This model has the ability of generating an exponential amount of workspace in linear time, thus it allows us to design cellular solutions to NP-complete problems in polynomial time. In this paper, we present a solution to the Vertex Cover problem via a family of such devices. This is the first solution to this problem in the framework of tissue P systems with cell separation.
D. DÃaz-Pernil, M. A. GutiÃ©rrez-Naranjo, M. J. PÃ©rez-JimÃ©nez, A. Riscos-Nú-ez. A Linear-time Tissue P System Based Solution for the 3-coloring Problem. Electronic Notes in Theoretical Computer Science, Vol. 171, pp. 81-93, 2007. http://dx.doi.org/10.1016/j.entcs.2007.05.009
D. DÃaz-Pernil, M. A. GutiÃ©rrez-Naranjo, M. J. PÃ©rez-JimÃ©nez, A. Riscos-Nú-ez. Solving Subset Sum in Linear Time by Using Tissue P Systems with Cell Division. In: J. Mira, J. R. Alvarez, J. R. Ivarez (Eds.) 2nd International Work-Conference, IWINAC 2007, Interplay between natural and artificial computation Lecture Notes in Computer Science, Vol. 4527, pp. 170-179, 2007. http://dx.doi.org/10.1007/978-3-540-73053-8_17
D. DÃaz-Pernil, M. J. PÃ©rez-JimÃ©nez, A. Riscos-Nú-ez, A. Romero. Computational Efficiency of Cellular Division in Tissue-like Membrane Systems. Romanian Journal of Information Science and Technology, Vol. 11(3), pp. 229-241, 2008.
M. A. GutiÃ©rrez-Naranjo, M. J. PÃ©rez-JimÃ©nez, F. J. Romero-Campero. A Linear solution for QSAT with Membrane Creation. Lecture Notes in Computer Science, Vol. 3850, pp. 241-252, 2006. http://dx.doi.org/10.1007/11603047_17
C. MartÃn Vide, J. Pazos, Gh. PÄƒun, A. RodrÃguez-PatÃ³n. A New Class of Symbolic Abstract Neural Nets: Tissue P Systems. Lecture Notes in Computer Science, Vol. 2387, pp. 290-299, 2002. http://dx.doi.org/10.1007/3-540-45655-4_32
C. MartÃn Vide, J. Pazos, Gh. PÄƒun, A. RodrÃguez-PatÃ³n. Tissue P Systems. Theoretical Computer Science, Vol. 296, pp. 295-326, 2003. http://dx.doi.org/10.1016/S0304-3975(02)00659-X
L. Pan, T.-O. Ishdorj. P Systems with Active Membranes and Separation Rules. Journal of Universal Computer Science, Vol. 10(5), pp. 630-649, 2004.
L. Pan, M. J. PÃ©rez-JimÃ©nez. Efficiency of Tissue P Systems with Cell Separation. In M. A. MartÃnez-del-Amor, E. F. Orejuela-Pinedo, Gh. PÄƒun, I. PÃ©rez-Hurtado, A. Riscos-Nú-ez, Seventh Brainstorming Week on Membrane Computing, Sevilla, Report RGNC 02/2009, 169-196, 2009.
A. PÄƒun, Gh. PÄƒun. The Power of Communication: P Systems with Symport/Antiport. New Generation Computing, Vol. 20(3), pp. 295-395, 2002. http://dx.doi.org/10.1007/BF03037362
Gh. PÄƒun. Computing with Membranes. Journal of Computer and System Sciences, Vol. 61(1), 108-143, 2000. http://dx.doi.org/10.1006/jcss.1999.1693
Gh. PÄƒun. Membrane Computing, An Introduction, Springer-Verlag, Berlin, 2002. http://dx.doi.org/10.1007/978-3-642-56196-2
Gh. PÄƒun, M. J. PÃ©rez-JimÃ©nez, A. Riscos-Nú-ez. Tissue P System with Cell Division. In Gh. PÄƒun, A. Riscos-Nú-ez, A. Romero-JimÃ©nez, F. Sancho-Caparrini (eds.), Second Brainstorming Week on Membrane Computing, Sevilla, Report RGNC 01/2004, 380-386, 2004.
M. J. PÃ©rez-JimÃ©nez, A. Romero-JimÃ©nez and F. Sancho-Caparrini, A Polynomial Complexity Class in P Systems Using Membrane Division, In E. Csuhaj-Varjú, C. Kintala, D. Wotschke and Gy. Vaszyl (eds.), Proceedings of the 5th Workshop on Descriptional Complexity of Formal Systems, DCFS 2003, pp. 284-294, 2003.
The P System Web Page: http://ppage.psystems.eu
ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.
You are free to:
-Share: copy and redistribute the material in any medium or format;
-Adapt: remix, transform, and build upon the material.
The licensor cannot revoke these freedoms as long as you follow the license terms.
DISCLAIMER: The author(s) of each article appearing in International Journal of Computers Communications & Control is/are solely responsible for the content thereof; the publication of an article shall not constitute or be deemed to constitute any representation by the Editors or Agora University Press that the data presented therein are original, correct or sufficient to support the conclusions reached or that the experiment design or methodology is adequate.