D. McCarthy

collaborators

2 papers

math.CO2024

A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers

Dermot McCarthy, Chris Monico

We construct an edge-colored digraph analogous to Mathon's construction for undirected graphs. We show that this graph is connected to the $k$ -th power Paley digraphs and we use th…

math.CO2023

Transitive subtournaments of $k$ -th power Paley digraphs and improved lower bounds for Ramsey numbers

Dermot McCarthy, Mason Springfield

Let $k \geq 2$ be an even integer. Let $q$ be a prime power such that $q \equiv k + 1 (mod 2 k)$ . We define the $k-th power Paley digraph$ of order $q$ , $G_{k} (q)$ , as the gr…

A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers

Transitive subtournaments of k-th power Paley digraphs and improved lower bounds for Ramsey numbers

Transitive subtournaments of $k$ -th power Paley digraphs and improved lower bounds for Ramsey numbers