In many ways,engineering has always been dependent on mathematical background. This was usually mathematical analysis. In recent years, one of the areas of discrete mathematics -graph theory has been increasingly used in many fields, such as automation, programming or algorithms.In automatization process directed graphs are used for description and analysis of control system, where nodes represent states and arrows direct edges or transitions between states automaton that manages processes. In fact, as well as in other disciplines, automation for analysis and synthesis of control units are used in achievements of discrete mathematics. In this paper we show how to use graph to simplify the process of automation.We analyze the possibilities of using directed graphs for the purposes of analysis and synthesis of dynamic control system (elevator) with the aim of its simplification or minimization.
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