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The Size of a Maximum Subgraph of the Random Graph with a Given Number of Edges
Authors:Derevyanko  N. M.  Zhukovskii  M. E.  Rassias  M.  Skorkin  A. Yu.
Affiliation:1.Moscow Institute of Physics and Technology (National Research University), 141700, Dolgoprudnyi, Moscow oblast, Russia
;2.Caucasus Mathematical Center, 385000, Maykop, Republic of Adygea, Russia
;3.Russian Presidential Academy of National Economyand Public Administration, 119571, Moscow, Russia
;4.University of Zurich, Zurich, Switzerland
;5.Adyghe State University, 385000, Maykop, Republic of Adygea, Russia
;
Abstract:Doklady Mathematics - We have proven that the maximum size k of an induced subgraph of the binomial random graph $$G(n,p)$$ with a given number of edges $$e(k)$$ (under certain conditions on this...
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