Sammy Luo

activity

20152025

most citedThe Saxl Conjecture for Fourth Powers via the Semigroup Property

10 citations · 13 across the 18 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CO2022

Small subsets with large sumset: Beyond the Cauchy--Davenport bound

Jacob Fox, Sammy Luo, Huy Tuan Pham +1

For a subset $A$ of an abelian group $G$ , given its size $∣ A ∣$ , its doubling $κ = ∣ A + A ∣/∣ A ∣$ , and a parameter $s$ which is small compared to $∣ A ∣$ , we study the size of the largest s…

math.CO2022

On random irregular subgraphs

Jacob Fox, Sammy Luo, Huy Tuan Pham

Let $G$ be a $d$ -regular graph on $n$ vertices. Frieze, Gould, Karoński and Pfender began the study of the following random spanning subgraph model $H = H (G)$ . Assign independently t…

math.CO2022

Monochromatic components with many edges

David Conlon, Sammy Luo, Mykhaylo Tyomkyn

Given an $r$ -edge-coloring of the complete graph $K_{n}$ , what is the largest number of edges in a monochromatic connected component? This natural question has only recently received…