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5. Fig. 5 shows the numeration of nodes on the top of each node in the graph. We see that the numbers of the nodes where the edges come out from are less than the numbers of nodes 26 Bio-Inspired Computational Algorithms and Their Applications where the edges come in. Such numeration is always possible for directed graphs without loops. Fig. 5. Graph of mathematical equation To calculate the mathematical equation which is presented as a graph we use additional vector of nodes z for storage of intermediate results.

11, pp. 2415~2428. A. P. Shirjoposh, R. Banimahd, 2011, “Three modified version of differential evolution for continuous optimization,” Soft Computing, Vol. 15, Iss. 4, pp. 803~830. 2 The Network Operator Method for Search of the Most Suitable Mathematical Equation 1Institution Askhat Diveev1 and Elena Sofronova2 of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS, 2Peoples’ Friendship University of Russia Russia 1. Introduction For many applied and research problems it is necessary to find solution in the form of mathematical equation.

Unary operations ( ) 23 24 Bio-Inspired Computational Algorithms and Their Applications Operation Unit element χ 0 ( z′, z′′ ) = z′ + z′′ 0 χ 1 ( z′, z′′ ) = z′z′′ 1 χ 2 ( z′, z′′ ) = max {z′,z′′} 1 ε 1 ε 0 − χ 3 ( z′, z′′ ) = min {z′,z′′} χ 4 ( z′, z′′ ) = z′ + z′′ − z′z′′ χ 5 ( z′, z′′ ) = sgn ( z′ + z′′ ) ( z′ ) 2 + ( z′′ ) 0 2 χ 6 ( z′, z′′ ) = sgn ( z′ + z′′ ) ( z′ + z′′ ) 0 χ 7 ( z′, z′′ ) = sgn ( z′ + z′′ ) max { z′ , z′′ } 0 Table 2. Binary operations First we set parentheses to emphasize the arguments of functions.