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This paper considers construction algorithms for the topological 2-D drawing of a graph. These algorithms allow to store, describe and modify the existing information on the drawing of a graph. Finally, we introduce necessary notions and structures to solve the problem of the topological 2-D drawing of a graph.doi:10.1134/s0005117913090063 fatcat:rdlqyvukpzex3a7oivwrgq54se