Computes the adjacency matrix of a multiplex network

compute.adjacency.matrix is a function to compute the adjacency matrix of a multiplex network provided as a Multiplex object.

compute.adjacency.matrix(x,delta = 0.5)

Arguments

x

A Multiplex object describing a multiplex network generated by the function create.multiplex.

delta

A numeric value between 0 and 1. It sets the probability of performing inter-layer versus intra-layer transitions. It is set by default to 0.5. See more details below.

Value

A square sparse adjacency matrix created with the Matrix package.

Details

The parameter delta sets the probability to change between layers at the next step. If delta = 0, the particle will always remain in the same layer after a non-restart iteration. On the other hand, if delta = 1, the particle will always change between layers, therefore not following the specific edges of each layer.

See also

create.multiplex,normalize.multiplex.adjacency, compute.transition.matrix

Author

Alberto Valdeolivas Urbelz alvaldeolivas@gmail.com

Examples

m1 <- igraph::make_graph(c(1,2,1,3,2,3), directed = FALSE)
m2 <- igraph::make_graph(c(1,3,2,3,3,4,1,4), directed = FALSE)
multiObject <- create.multiplex(list(m1=m1,m2=m2))
compute.adjacency.matrix(multiObject)
#> 8 x 8 sparse Matrix of class "dgCMatrix"
#>     1_1 2_1 3_1 4_1 1_2 2_2 3_2 4_2
#> 1_1 .   0.5 0.5 .   0.5 .   .   .  
#> 2_1 0.5 .   0.5 .   .   0.5 .   .  
#> 3_1 0.5 0.5 .   .   .   .   0.5 .  
#> 4_1 .   .   .   .   .   .   .   0.5
#> 1_2 0.5 .   .   .   .   .   0.5 0.5
#> 2_2 .   0.5 .   .   .   .   0.5 .  
#> 3_2 .   .   0.5 .   0.5 0.5 .   0.5
#> 4_2 .   .   .   0.5 0.5 .   0.5 .