The multiplicity of the Laplacian eigenvalue $2$ in some bicyclic graphs

Masoumeh Farkhondeh, Mohammad Habibi, Dost Ali Mojdeh +1

The Laplacian matrix of a graph $G$ is denoted by $L(G)=D(G)-A(G)$, where $D(G)=diag(d(v_1),\dots ,d(v_n))$ is a diagonal matrix and $A(G)$ is the adjacency matrix of $G$. Le…