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math.CO2019★ 1 cited
Independence numbers of Johnson-type graphs
Danila Cherkashin, Sergei Kiselev
We consider a family of distance graphs in and find its independent numbers in some cases. Define graph in the following way: the vertex set consist…
math.CO2019
On the Erd{\H o}s--Hajnal problem in the case of 3-graphs
Danila Cherkashin
Let denote the minimal number of edges in an -uniform hypergraph which is not -colorable. For the broad history of the problem see [RaiSh]. It is known that for a fi…