The paper establishes r(3;n) ≤ R(P_{n+2}, J_n) ≤ 4^n · r(3;n), connecting a central open Ramsey problem to a hypergraph monotone path problem.
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3-uniform monotone paths and multicolor Ramsey numbers
The paper establishes r(3;n) ≤ R(P_{n+2}, J_n) ≤ 4^n · r(3;n), connecting a central open Ramsey problem to a hypergraph monotone path problem.