George Brooks

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20232026

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math.CO2023

Some exact and asymptotic results for hypergraph Turán problems in $ℓ_{2}$ -norm

George Brooks, William Linz

For a $k$ -uniform hypergraph $H$ , the \emph{codegree squared sum} $co_{2} (H)$ is the square of the $ℓ_{2}$ -norm of the codegree vector of $H$ , a…

math.CO2023

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 $λ_{k} (G)$ denote the $k$ -th largest eigenvalue of the adjacency matrix of $G$ . In 2017, Tait and Tobin proved that the maximum…

Some exact and asymptotic results for hypergraph Turán problems in ℓ2​-norm

On the maximum second eigenvalue of outerplanar graphs

Some exact and asymptotic results for hypergraph Turán problems in $ℓ_{2}$ -norm