Median eigenvalues of subcubic graphs

Zilin Jiang
Joint work with Hricha Acharya and Benjamin Jeter

Subcubic graphs: max degree $\le$ 3

Eigenvalues of adjacency matrix$\lambda_1 \ge \dots \ge \lambda_n$

Median eigenvalues

$\lambda_H = \lambda_{\lfloor (n+1)/2 \rfloor}, \lambda_H = \lambda_{\lceil (n+1)/2 \rceil}$