The unicyclic graphs with the second smallest normalized Laplacian eigenvalue no less than $1-\frac{\sqrt{6}}{3}$

Weige Xi, Ligong Wang, Xiangxiang Liu +2

Let ${\lambda }_2(G)$ be the second smallest normalized Laplacian eigenvalue of a graph $G$. In this paper, we determine all unicyclic graphs of order $n\ge 21$ with $λ_{2}(G)\geq 1-\frac…