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math.CO2026
A short proof of the Erd\H os--Sós Conjecture
Oliver Riordan, Alex Scott
The Erd\H os--Sós Conjecture was recently proved by GPT-6 Astra, using a very ingenious and surprising argument. In this note, we present a simplified version of this argument in a…
math.CO2026
Far-apart Erdős--Pósa property of long cycles
Maria Chudnovsky, Vida Dujmović, Gwenaël Joret +4
We prove that there exist functions and such that for all positive integers , , and , every graph either c…