2 papers
math.CO2025
A question of ErdÅs and Graham on Egyptian fractions
David Conlon, Jacob Fox, Xiaoyu He +4
Answering a question of ErdÅs and Graham, we show that for each fixed positive rational number the number of ways to write as a sum of reciprocals of distinct positive int…
math.CO2025
When are off-diagonal hypergraph Ramsey numbers polynomial?
David Conlon, Jacob Fox, Benjamin Gunby +5
A natural open problem in Ramsey theory is to determine those -graphs for which the off-diagonal Ramsey number grows polynomially with . We make substan…