Generates a normalized graph Laplacian from the graph adjacency matrix.
Usage
adj2nlapl(A)
Arguments
A
n-by-n adjacency matrix for a graph with n nodes
Value
The n-by-n Laplacian matrix of the graph
Details
A normalized graph Laplacian is defined as:
$ l_{i,j} = 1 $, if $ i = j $;
$ l_{i,j} = - 1 / \sqrt{ deg(v_i) deg(v_j) } $, if $ i \neq j $ and $v_i$ is adjacent to $v_j$;
and $ l_{i,j} = 0 $, otherwise