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Аннотация:Molecular graph invariants are often used as molecular descriptors in `structure-property' correlations. There exists an infinite number of graph invariants. Most of them are constructed using refined mathematical operations with graphs and cannot be easily interpreted in structural or physico-chemical terms. So, the problem of the choice of molecular descriptors in `structure-property' correlation appears. It is known that many invariants are related to each other by strict or approximate formulas. Thus, these descriptors reflect the same features of molecular structures. So, the following problem appears: for any finite set of molecular (or arbitrarily labeled) graphs, to find a finite set of basis invariants, such that any invariant of these graphs could be uniquely expressed as a linear combination of basis invariants. A solution of the above-mentioned problem and some examples are presented in the given paper.