Weighted graph Laplacian (source code)

= Weighted graph Laplacian
{c}
{title2=$L_w$}

For symmetric edge weights $w_{ij}\geq0$, the weighted graph Laplacian has quadratic form
$$
x^TL_wx=\sum_{\{i,j\}\in E}w_{ij}(x_i-x_j)^2.
$$