Mixed Random Sampling of Frames method for counting number of motifs [article]

M. N. Yudina, V. N. Zadorozhnyi, E. B. Yudin
2019 arXiv   pre-print
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
more » ... fs 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.
arXiv:1904.02483v1 fatcat:c7ia3h75ffa3jgmopabfe6xqpa