Abstract
Many of the current reforms in Ukraine are based on issues of urban and spatial planning, which are being implemented in the modern conditions of diverse and rapid socio-economic changes. Therefore, further improvement of various means of successful solution of the outlined tasks is an urgent scientific and applied problem.
 The main purpose of the current stage of social relations in material terms is the implementation of sustainable development of territorial communities for improvement of life of the population. Such development means their socially, economically and ecologically balanced functioning, aimed at creating high industrial, agricultural, scientific, educational, cultural potential with ensuring the rational use of natural, labour, financial and other resources, improving the service sector, living conditions, recreation and health enhancement of people.
 The implementation by citizens, legal entities and the state of actions for innovative investment activities, i.e. the introduction of new scientific, technical and organizational solutions, investment of funds, property, intellectual values in the territorial development of communities, is one of the most productive directions of achievement of this goal. The cluster approach is a fairly popular and appropriate form of its implementation. The corresponding model includes geographically close groups of interconnected enterprises, institutions and organizations, characterized by a certain joint activity. The main task of such association is to create a more competitive socio-economic structure of the regions.
 This publication is devoted to the mathematical description of the proposed method of polygonal territorial clustering as a means of automated geometric modeling of organizational structures for improvement of the efficiency of using various resources, such as natural, labour, financial and others. The study also identified some prospects for further perfection and application of the developed approach as a component of modern computer geographic information systems for optimizing territorial management.
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