3 citations · 4 across the 5 of their papers we have counts for
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math.CO2020★ 3 cited
On Ramsey-minimal infinite graphs
Jordan Mitchell Barrett, Valentino Vito
For fixed finite graphs , , a common problem in Ramsey theory is to study graphs such that , i.e. every red-blue coloring of the edges of produces either…
math.CO2020
Ramsey theory for layered semigroups
Jordan Mitchell Barrett
We further develop the theory of layered semigroups, as introduced by Farah, Hindman and McLeod, providing a general framework to prove Ramsey statements about such a semigroup …
math.CO2019
On Rado conditions for nonlinear Diophantine equations
Jordan Mitchell Barrett, Martino Lupini, Joel Moreira
Building on previous work of Di Nasso and Luperi Baglini, we provide general necessary conditions for a Diophantine equation to be partition regular. These conditions are inspired…