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gelnet (version 1.2.1)

adj2lapl: Generate a graph Laplacian

Description

Generates a graph Laplacian from the graph adjacency matrix.

Usage

adj2lapl(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 graph Laplacian is defined as: \( l_{i,j} = deg( v_i ) \), if \( i = j \); \( l_{i,j} = -1 \), if \( i \neq j \) and \(v_i\) is adjacent to \(v_j\); and \( l_{i,j} = 0 \), otherwise

See Also

adj2nlapl