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math.CO2024
New bounds of two hypergraph Ramsey problems
Chunchao Fan, Xinyu Hu, Qizhong Lin +1
We focus on two hypergraph Ramsey problems. First, we consider the Erdős-Hajnal function . In 1972, Erdős and Hajnal conjectured that the tower growth rate of $r_k(k+…
math.CO2024
A step towards the Ramsey-Turán conjecture for and
Xinyu Hu, Qizhong Lin
Ramsey-Turán type problems were initiated by Erdős and Sós in 1969. Given integers , a graph is -free if there exists a red/blue edge coloring of such…