Jack Hyatt

collaborators

2 papers

math.CO2025

Permutations minimizing the number of collinear triples

Joshua Cooper, Jack Hyatt

We characterize the permutations of $F_{q}$ whose graph minimizes the number of collinear triples and describe the lexicographically-least one, affirming a conjecture of Coo…

math.CO2024

On the maximum second eigenvalue of outerplanar graphs

George Brooks, Maggie Gu, Jack Hyatt +2

For a fixed positive integer $k$ and a graph $G$ , let $I^»_{k} (G)$ denote the $k$ -th largest eigenvalue of the adjacency matrix of $G$ . In 2017, Tait and Tobin proved that the maximum…