  The problem of calculating the frequencies of network motifs on three and
four nodes in large networks is considered. Telecommunications networks, cell
molecular networks are investigated. The sizes of the investigated networks are
hundreds of thousands of nodes and connections. These networks are represented
in the form of directed and undirected simple graphs. Exact calculating
requires huge computational resources for such large graphs. A method for
calculating the frequencies of network motifs using the Monte Carlo method with
control of the accuracy of calculations is proposed. The proposed effective
method minimizes the value of the coefficient of variation.
