# adj2nlapl: Generate a normalized graph Laplacian In gelnet: Generalized Elastic Nets

## Description

Generates a normalized graph Laplacian from the graph adjacency matrix.

## Usage

 `1` ```adj2nlapl(A) ```

## 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 / √{ deg(v_i) deg(v_j) } , if i \neq j and v_i is adjacent to v_j; and l_{i,j} = 0 , otherwise

## Value

The n-by-n Laplacian matrix of the graph

`adj2nlapl`