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Estimates of the number of independent sets in graphs with a fixed independence number
Authors:A. B. Dainyak
Affiliation:(1) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
Abstract:Attainable estimates of the number of independent sets in graphs with a given size of the maximal independent set are obtained. Three graph classes—trees, forests, and the class of all graphs—are considered. Extremal graphs are described.
Keywords:independent set  independence number
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