Use this if you are using igraph from R
Retrieves the stochastic matrix of a graph of class igraph
.
stochastic_matrix( graph, column.wise = FALSE, sparse = igraph_opt("sparsematrices") )
graph 
The input graph. Must be of class 
column.wise 
If 
sparse 
Logical scalar, whether to return a sparse matrix. The

Let M be an n x n adjacency matrix with real nonnegative entries. Let us define D=diag( sum(M[1,i], i), ..., sum(M[n,i], i) )
The (row) stochastic matrix is defined as
W = inv(D) M,
where it is assumed that D is nonsingular. Column stochastic matrices are defined in a symmetric way.
A regular matrix or a matrix of class Matrix
if a
sparse
argument was TRUE
.
Gabor Csardi csardi.gabor@gmail.com
library(Matrix) ## g is a large sparse graph g < sample_pa(n = 10^5, power = 2, directed = FALSE) W < stochastic_matrix(g, sparse=TRUE) ## a dense matrix here would probably not fit in the memory class(W) ## may not be exactly 1, due to numerical errors max(abs(rowSums(W))1)