The present paper consists of an introduction, in two parts and an appendix. The Introduction is devoted to the definition of the problem and describes, as a whole, the methods used. The close connection between choosing the set of indicators and constructing the structural scheme of the model is discussed here. The possibility for using graph theory methods for analyzing and evaluating the given set of indicators is shown. Part I deals with the formal definition of the problem and describes graph theory algorithms employed in model structure analysis. In Part II, brief characteristics of the models under investigation and analysis of their graph models are given. The methods suggested in the present work appeared in the analysis of three global models: World 3, Mesarovic and Pestel model and MOIRA. In the Appendix, the sets of indicators of the graph models and the graph models themselves are given.