Intensification of all spheres of public education is the key priority for the current Russian society and state. To solve this strategic task, the so-called “register” of external requirements, which are imposed by the relevant ministry (further on we will use the term ‘an administrative regulator’) to higher educational establishments at the national level, was composed. These requirements include various external (in regard to higher educational establishments) regulations, monitoring the quality of their work through the prism of rather strict criteria of conformity. While analyzing these criteria one can easily notice that many of them, directly or indirectly, touch upon different aspects of social and network activities of higher educational establishments. For example, joint research projects with foreign scientists, various international symposia, conferences, summer and winter scientific schools, joint educational programs’ implementation, student and academic mobility, etc. The network activity is not only part and parcel of the modern university, but also a criterion of its success. Academic exchange, internship and dual diplomas’ programs, as well as the creation and expansion of consortiums for large-scale research projects, which can join universities’ schools of thought, research centers, institutions and separate laboratories, represent the incomplete list of interactions performed on the networking principle. In this regard there came an urgent need for understanding the nature of universities’ network interactions and search for the most effective models of their network cooperation.