Abstract. A number of attributed formation models based on ErdosRenyi and Barabasi-Albert random graph models are presented. One of them is a Human Communication Network (HCN) model based on time restrictions on face-to-face communication. Construction of this weighted network requires a few numerical parameters and allows to transform any unweighted node attributed network into weighted. This transformation helps solving numerous problems in Network Analysis such as community detection, network topology inference, etc. Understanding nature of human communication networks allows to solve many practical problems starting with fast spreading any information and innovation through the networks and ending with detecting key people, collaboration with whom helps achieving different goals