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Formal approach to the solution of the complex-spectra identification problem. I. theory

A formal approach to the solution of the complex-spectra identification problem is proposed. In the frame of this approach the set of energy levels and transitions to be searched for is represented in the space of upper and lower energy levels as a geometric figure. The approach is based on the analysis of properties of two graphs which are the figure projections on the spaces of upper and lower energy levels. The methods for finding the original figure (or its versions) are proposed.