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math.CO2024
Ramsey--Dirac theory for bounded degree hypertrees
Jie Han, Seonghyuk Im, Jaehoon Kim +1
Ramsey--Turán theory considers Turán type questions in Ramsey-context, asking for the existence of a small subgraph in a graph where the complement lacks an appr…
math.CO2024
Extremal density for subdivisions with length or sparsity constraints
Jaehoon Kim, Hong Liu, Yantao Tang +3
Given a graph , a balanced subdivision of is obtained by replacing all edges of with internally disjoint paths of the same length. In this paper, we prove that for any g…