Generates a normalized graph Laplacian from the graph adjacency matrix.
Usage
adj2nlapl(A)
Value
The n-by-n Laplacian matrix of the graph
Arguments
A
n-by-n adjacency matrix for a graph with n nodes
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