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To rank nodes in quasi-hierarchical networks of social nature, it isnecessary to carry out a detailed analysis of the network and evaluate theresults obtained according to all the given criteria and identify the mostinfluential nodes. Existing ranking algorithms in the overwhelming majorityestimate such networks in general, which does not allow to clearly determinethe influence of nodes among themselves. In the course of the study, ananalysis of the results of known algorithms for ranking the nodes of HITS,PageRank and compares the obtained data with the expert evaluation of thenetwork. For the effective analysis of quasi-hierarchical networks, the basicalgorithm of HITS is modified, which allows to evaluate and rank nodesaccording to the given criteria (the number of input and output links amongthemselves), which corresponds to the results of expert evaluation. It is shownthat the received method in some cases provides results that correspond to thereal social relation, and the indexes of the authorship of the nodes -pre-assigned social roles.

Ranking of nodes of networks taking into account the power function of its weight of connections