NAME
statdistr2 - compute the stationary distribution of additive, multiplicative and intensive biased walks in a multiplex with 2 layers.
SYNOPSYS
statdistr2 <layer1> <layer2> < overlappingnetwork > <N> b1 b2
DESCRIPTION
Compute and print the stationary distribution of additive, multiplicative and intensive biased walks in a multiplex with 2 layers. Files layer1, layer2, contain the (undirected) edge list of the two layer, and each line is in the format:
src_ID dest_ID
where src_ID and dest_ID are the IDs of the two endpoints of an edge.
The file overlapping network has also a third column indicating the number of times two nodes are connected across all layers.
N is the number of nodes, b1 is the first bias exponent (the bias exponent for layer 1 for additive and multiplicative walks, the bias exponent on the participation coefficient for intensive walks), b2 is the second bias exponent (the bias exponent for layer 1 for additive and multiplicative walks, the bias exponent on the participation coefficient for intensive walks).
OUTPUT
N lines. In the n-th line we report the node ID, the stationary distribution of that node for additive walks with exponents b1 and b2, the stationary distribution for multiplicative walks with exponents b1 and b2, the stationary distribution for multiplicative walks with exponents b1 and b2, the values of the bias exponents b1 and b2.
REFERENCE
F. Battiston, V. Nicosia, V. Latora, “Biased random walks on multiplex networks”, arxiv:1505.01378 (2015).
Link to paper: http://arxiv.org/abs/1505.01378