Introduction. At present the most actual form of economic research for the authors is a dynamic partner network that can be rapidly rearranged in response of market changes. The greatest difficulty in this case is the problem of the core development structure, the members of which shall have all, without exception, the required core competencies for search and performance of the market orders main stream. Theoretical analysis. A sufficiently large number of models and methods is developed, which can solve this problem, but their use in practice, as a rule, does not guarantee an exact optimal solution and often describes special cases permission. Methodology and results of the study. In this research paper the mathematical problem of integer linear programming about development of the minimum number in partner group, covering all the required core competencies of dynamic network is formulated by authors. The model provides the possibility of accounting relationships between partners, for example, the integration of economic agents only in the group that makes up the clique in terms of graph theory.