Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 171-01. The hypercube Ramsey number has linear order
Manuscript map · lines 5575–5584
OpenAI@2026-10-07#rem:oai-p-171-01
Authors: OpenAI. Family 171.
Title: The hypercube Ramsey number has linear order.
Abstract: We prove that the two-color Ramsey number of the n-dimensional binary cube is at most $C2{}n$, where C is an absolute constant. This resolves positively the hypercube Ramsey conjecture of Burr and Erdős.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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