William Linz

activity

20192026

K_{2, t}

-minor-free graphs

1 citations · 1 across the 11 of their papers we have counts for

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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…

math.CO2023

Improved lower bounds on the extrema of eigenvalues of graphs

William Linz

In this note, we improve the lower bounds for the maximum size of the $k$ th largest eigenvalue of the adjacency matrix of a graph for several values of $k$ . In particular, we show…

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

On the maximum second eigenvalue of outerplanar graphs

Improved lower bounds on the extrema of eigenvalues of graphs

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