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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.PR2026
Counting subgraphs in bounded-size Achlioptas processes
Mihyun Kang, Oliver Riordan
Achlioptas processes such as the Bohman--Frieze process are much harder to analyse than the classical Erdős--Rényi process, due to the dependence between edges added at different s…