GROUP-THEORETICAL APPROACH TO THE INVESTIGATION OF REACTION GRAPHS FOR HIGHLY DEGENERATE REARRANGEMENTS OF CHEMICAL-COMPOUNDS .1. CRITERION OF THE CONNECTIVITY OF A GRAPHстатья
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Аннотация:We give a necessary and sufficient condition for a reaction graph of a degenerate rearrangement to be connected. This condition is formulated in terms of vertex stabilizers of the automorphism group of a molecular graph. The condition is illustrated on several examples, including the reaction graph of bullvalene. We consider different mathematical models for the construction of reaction graphs and state the problem: which of the models is more adequate?