Mixed graphs with smallest eigenvalue greater than $-\frac{\sqrt{5}+1}{2}$

Lu Lu, ZhenZhen Lou

Published 2020-12-24Version 1

In this paper, we completely characterize the mixed graphs with smallest Hermitian eigenvalue greater than $-\frac{\sqrt{5}+1}{2}$. By the way, we get a new class of mixed graphs switching equivalent to their underlying graphs.