This article focuses on the applicability of mathematical theory of graphs in sports sociology. The studies presented in this paper might have demonstrated that methods of graph theory can be, to the advantage of the exactness and conceptualization of structural properties and factors, successfully employed in sport sociology. A sport sociologist cannot dispense with this instrument anymore, if he does not want to deprive himself of possibilities to give his models and theory a precise formulation. But not only a better means of presentation is at stake here; in fact, certain connections, properties and statements, generally understood as empirical ones, turn out be structural-mathematical consequences of the model itself that can be revealed as statements of such a logico-mathematical category only by the employment of graph theory. There is another argument, confirming the usefulness of wider employment of graph theory in sociology of sport: in three very distinct branches of this scientific discipline the following structures and methods of the same theory of graphs can be successfully applied: in the analysis of sports organizations, in investigations of round-robin matches, and in studies on the group dynamics of teams.