Bounds for the Largest Laplacian Eigenvalue of Weighted Graphs

الملخص EN

Let G be weighted graphs, as the graphs where the edge weights are positive definite matrices.

The Laplacian eigenvalues of a graph are the eigenvalues of Laplacian matrix of a graph G.

We obtain two upper bounds for the largest Laplacian eigenvalue of weighted graphs and we compare these bounds with previously known bounds.