Matthew Coulson

activity

20152021

most citedA Rainbow Dirac's Theorem

6 citations · 10 across the 5 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.PR2021

The strong component structure of the barely subcritical directed configuration model

Matthew Coulson

We study the behaviour of the largest components of the directed configuration model in the barely subcritical regime. We show that with high probability all strongly connected com…

math.PR2021

Largest component of subcritical random graphs with given degree sequence

Matthew Coulson, Guillem Perarnau

We study the size of the largest component of two models of random graphs with prescribed degree sequence, the configuration model (CM) and the uniform model (UM), in the (barely)…

math.CO2021★ 1 cited

The typical approximate structure of sets with bounded sumset

Marcelo Campos, Matthew Coulson, Oriol Serra +1

Let $A_{1}$ and $A_{2}$ be randomly chosen subsets of the first $n$ integers of cardinalities $s_{2} \geq s_{1} = Ω (s_{2})$ , such that their sumset $A_{1} + A_{2}$ has size $m$ . We show that asympt…