Compute Graph Laplacian of a Weight Matrix

This function computes the graph Laplacian of a given weight matrix. The graph Laplacian is defined as the difference between the degree matrix and the adjacency matrix.

Usage

laplacian(x, ...)

Arguments

x

The weight matrix representing the graph structure.

...

Additional arguments to be passed to specific implementations of the laplacian method.

Value

The graph Laplacian matrix of the given weight matrix.

Examples

W <- Matrix::Matrix(c(0,1,0,
              1,0,1,
              0,1,0), nrow=3, byrow=TRUE, sparse=TRUE)
ng <- neighbor_graph(W)
laplacian(ng)
#> 3 x 3 sparse Matrix of class "dgCMatrix"
#>              
#> [1,]  1 -1  .
#> [2,] -1  2 -1
#> [3,]  . -1  1