Upper bound for the Laplacian eigenvalues of a graph

Miriam Farber, Ido Kaminer

In this note we give a new upper bound for the Laplacian eigenvalues of an unweighted graph. Let $G$ be a simple graph on $n$ vertices. Let $d_m(G)$ and ${\lambda }_{m+1}(G)$ be the $m$-t…