2 papers
math.CO2026
Coloring small locally sparse degenerate graphs and related problems
Domagoj BradaÄ, Jacob Fox, Raphael Steiner +2
The classic upper bound on the chromatic number of -degenerate graphs is , shown to be tight by complete graphs. A natural question is whether this bound remains tight if o…
math.CO2025
Finer control on relative sizes of iterated sumsets
Jacob Fox, Noah Kravitz, Shengtong Zhang
Inspired by recent questions of Nathanson, we show that for any infinite abelian group and any integers , there exist finite subsets such th…