Description Usage Arguments Details Value Author(s) See Also Examples
View source: R/RWRandMatrices.R
compute.transition.matrix
is a function to compute the transition
matrix of a multiplex heterogeneous network provided as a MultiplexHet
object.
1  compute.transition.matrix(x,lambda = 0.5, delta1=0.5, delta2=0.5)

x 
A 
lambda 
A numeric value between 0 and 1. It sets the probability of jumping within a network or change to the other network of the heterogeneous system. It is set by default to 0.5. See more details below. 
delta1 
A numeric value between 0 and 1. It sets the probability of performing interlayer versus intralayer transitions in the first multiplex. It is set by default to 0.5. See more details below. 
delta2 
A numeric value between 0 and 1. It sets the probability of performing interlayer versus intralayer transitions in the second multiplex. It is set by default to 0.5. See more details below. 
We clarify the role of the different parameters in this point:
lambda
: For a given node, if a bipartite association exists,
the particle can either jump between networks or stay in the current
graph with a probability given by this parameter. The closer lambda is to
one, the higher is the probability of jumping between networks following
bipartite interactions.
delta
: This parameter 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 nonrestart iteration. On the other hand, if
delta = 1, the particle will always change between layers, therefore
not following the specific edges of each layer.
A square sparse transition matrix created with the Matrix
package. It is the transition matrix for the Random Walk with Restart on
Multiplex and Heterogeneous networks algorithm.
Alberto Valdeolivas Urbelz alvaldeolivas@gmail.com
create.multiplexHet,
compute.adjacency.matrix
1 2 3 4 5 6 7 8 9  m1 < igraph::graph(c(1,2,1,3,2,3), directed = FALSE)
m2 < igraph::graph(c(1,3,2,3,3,4,1,4), directed = FALSE)
multiObject_1 < create.multiplex(list(m1=m1,m2=m2))
h1 < igraph::graph(c("A","C","B","E","E","D","E","C"), directed = FALSE)
bipartite_relations < data.frame(m=c(1,3),h=c("A","E"))
multiObject_2 < create.multiplex(list(h1=h1))
multiHetObject < create.multiplexHet(multiObject_1, multiObject_2,
bipartite_relations)
compute.transition.matrix(multiHetObject)

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