By Caprara A.
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Extra resources for A 3/4-Approximation Algorithm for Multiple Subset Sum
58. C. Mart´ın-Vide, Gh. P˘ aun, J. Pazos, A. Rodr´ıguez-Pat´ on: Tissue P Systems. Theoretical Computer Science, 296, 2 (2003), 295–326. 59. G. Mauri, Gh. J. P´erez-Jim´enez, G. Rozenberg, A. : Membrane Computing. International Workshop WMC5, Milan, Italy, 2004. Revised Papers, Lecture Notes in Computer Science, 3365, Springer, Berlin, 2005. 60. M. Minsky: Computation – Finite and Infinite Machines. Prentice Hall, Englewood Cliffs, NJ, 1967. 61. Y. Nishida: Simulations of Photosynthesis by a K-subset Transforming System with Membranes.
The rules are of the form sw → s (x, here)(y, go)(z, out), where s, s are states and w, x, y, z are multisets of objects; in state s, the cell consumes the multiset w and produces the multisets x, y, z; the objects from multiset x remain in the cell, those of multiset y have to be communicated to the cells toward which there are synapses starting in the current cell; a multiset z, with the indication out, is allowed to appear only in a special cell, designated as the output cell, and for this cell the use of the previous rule entails sending the objects of z to the environment.
Walter: Molecular Biology of the Cell, 4th ed. Garland Science, New York, 2002. 3. A. Alhazov, R. Freund: On the Efficiency of P Systems with Active Membranes and Two Polarizations. In , 147–161. 4. A. Alhazov, M. Margenstern, V. Rogozhin, Y. Rogozhin, S. Verlan: Communicative P Systems with Minimal Cooperation. In , 162–178. 5. A. Alhazov, C. Mart´ın-Vide, L. Pan: Solving a PSPACE-Complete Problem by P Systems with Restricted Active Membranes. Fundamenta Informaticae, 58, 2 (2003), 67–77.
A 3/4-Approximation Algorithm for Multiple Subset Sum by Caprara A.