Estimates of the number of independent sets in graphs with a fixed independence number |
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Authors: | A. B. Dainyak |
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Affiliation: | (1) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia |
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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. |
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Keywords: | independent set independence number |
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