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On Ramsey Numbers for Arbitrary Sequences of Graphs
Authors:Karas  V. S.  Raigorodskii  A. M.
Affiliation:1.Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia
;2.Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia
;3.Institute of Mathematics and Computer Science, Adyghe State University, 385000, Maykop, Republic of Adygea, Russia
;4.Institute of Mathematics and Computer Science, Buryat State University, 670000, Ulan-Ude, Buryat Republic, Russia
;
Abstract:Doklady Mathematics - In this work, we study nontrivial generalizations of Ramsey numbers to the case of arbitrary sequences of graphs. For many classes of sequences, exact values or asymptotics of...
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