This paper describes the process of planning the realization stages of a research thesis (license/master) and classical methods of graph theory are applied to the proposed ones. It is proposed a project model for planning the stages of realization of a thesis by using project management concepts, taking into account the requirements of the guide for the elaboration of a license/master thesis and methods of planning in applied mathematics (the Graph theory). In this paper the solution of the proposed problem was determined by the following methods: Gantt, Critical Path Method and PERT. It is advisable to run the research work for each method and the differences between methods.