Remark: Family 171. The hypercube Ramsey conjecture

Resolves the Burr–Erdős hypercube Ramsey conjecture: the two-color Ramsey number of the $n$-dimensional cube is $\Theta (2^n)$. Thus every red-blue coloring of a complete graph on a universal constant times the cube's number of vertices contains a monochromatic copy of the cube.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.