activity
20132025
most citedPath Ramsey number for random graphs

52 citations · 155 across the 43 of their papers we have counts for

collaborators

58 papers

math.CO2025

Exact supported co-degree bounds for Hamilton cycles

Shoham Letzter, Arjun Ranganathan

For any and such that , we show that any sufficiently large -graph must contain a Hamilton -cycle provided that it has no…

math.CO2025

On the gracesize of trees

Shoham Letzter, Alexey Pokrovskiy, Ella Williams

An -vertex tree is said to be if there exists a bijective labelling such that the edge-differences $\{|ϕ(x)-ϕ(y)| : xy\in E(T)…

math.CO2025

Packing subgraphs in regular graphs

Shoham Letzter, Abhishek Methuku, Benny Sudakov

An \emph{-packing} in a graph is a collection of pairwise vertex-disjoint copies of in . We prove that for every and every bipartite graph , any $\lfloor c…

math.CO2025

Size-Ramsey numbers of tight paths

Shoham Letzter, Alexey Pokrovskiy, Liana Yepremyan

The -colour size-Ramsey number of a hypergraph is the minimum number of edges in a hypergraph whose every -edge-colouring contains a monochromatic copy of . We sho…

math.CO2025

Nearly Hamilton cycles in sublinear expanders, and applications

Shoham Letzter, Abhishek Methuku, Benny Sudakov

We develop novel methods for constructing nearly Hamilton cycles in sublinear expanders with good regularity properties, as well as new techniques for finding such expanders in gen…

math.CO2024

Building graphs with high minimum degree on a budget

Kyriakos Katsamaktsis, Shoham Letzter

We consider the problem of constructing a graph of minimum degree in the following controlled random graph process, introduced recently by Frieze, Krivelevich and Michaeli…