Connor Mattes

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math.CO2024

The Hypergraph Turán Densities of Tight Cycles Minus an Edge

Bernard Lidicky, Connor Mattes, Florian Pfender

A tight $ℓ$ -cycle minus an edge $C_{ℓ}^{-}$ is the $3$ -graph on the vertex set $[ℓ]$ , where any three consecutive vertices in the string $123 \dots ℓ 1$ form an edge. We sho…

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…