Classes of states of discrete systems

Malgorzata J. Krawczyk ()
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Malgorzata J. Krawczyk: Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 11, 1-18

Abstract: We present a method which allows for a reduction of a size of a simulated system. The method can be applied to any system where one can define a finite set of possible states of the system and an elementary process which transforms one state of the system to another. The method is based on the system symmetry; we get classes of states, which can be used instead of states. A detailed procedure is presented for undirected/directed and/or unweighted/weighted graphs. Several applications of the method are shown for different types of systems. In particular, new results are presented for the random Boolean networks.

Keywords: Complex networks; reduction of the size of the system; Boolean networks; 89.75.-k; 05.10.-a (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115501260

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