Seonglae ChoThis page summarizes recent progress on improving upper bounds for the diagonal Ramsey numbers .
The authors achieved a historic exponential improvement on the long-standing general upper bound for . Since Paul Erdős’s 1935 bound had remained essentially unchanged for nearly a century, this work shows that for all sufficiently large
breaking the “barrier” at 4 for the first time.
At a high level, the proof develops a new density-increment–style argument and leverages a structured “red book” framework to obtain the improved constant in the exponent.
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