On the Number of Independent Sets in Simple Hypergraphs


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Extremal problems on the number of j-independent sets in uniform simple hypergraphs are studied. Nearly optimal results on the maximum number of independent sets for the class of simple regular hypergraphs and on the minimum number of independent sets for the class of simple hypergraphs with given average degree of vertices are obtained.

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A. Balobanov

Moscow Institute of Physics and Technology (State University)

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Email: balobanov@phystech.edu
俄罗斯联邦, Dolgoprudnyi, Moscow Oblast

D. Shabanov

Moscow Institute of Physics and Technology (State University); Mechanics and Mathematics Department; National Research University Higher School of Economics

Email: balobanov@phystech.edu
俄罗斯联邦, Dolgoprudnyi, Moscow Oblast; Moscow; Moscow

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