Grace McCourt

collaborators

2 papers

math.CO2021

Low Diameter Monochromatic Covers of Complete Multipartite Graphs

Sean English, Connor Mattes, Grace McCourt +1

Let the diameter cover number, $D_{r}^{t} (G)$ , denote the least integer $d$ such that under any $r$ -coloring of the edges of the graph $G$ , there exists a collection of $t$ monochromat…

math.CO2021

On sizes of 1-cross intersecting set pair systems

Alexandr V. Kostochka, Grace McCourt, Mina Nahvi

Let ${(A_{i}, B_{i})}_{i = 1}^{m}$ be a set pair system. Füredi, Gyárfás and Király called it {\em $1$ -cross intersecting} if $∣ A_{i} \cap B_{j} ∣$ is $1$ when $i \neq = j$ and $0$ if $i = j$ . They…