BuildTransitionMatrixFromEdgeColoredMatrices: Random walk transition matrix for an edge-coloured network....
In manlius/muxViz: MuxViz - Visualization and Analysis of Multilayer Networks

BuildTransitionMatrixFromEdgeColoredMatrices

R Documentation

Random walk transition matrix for an edge-coloured network. Given the node tensor for the edge-coloured multi-layer network the function builds the supra transition matrix for a discrete time RW.

Description

Random walk transition matrix for an edge-coloured network. Given the node tensor for the edge-coloured multi-layer network the function builds the supra transition matrix for a discrete time RW.

Usage

BuildTransitionMatrixFromEdgeColoredMatrices(
  NodesTensor,
  Layers,
  Nodes,
  Type = "classical"
)

Arguments

`NodesTensor`	list of adjacency matrices, expected to be aligned (a node has same index in any layer).
`Layers`	integer, number of layers
`Nodes`	integer, number of nodes
`Type`	the type of the random walk, default `"classical"`. Other types: `c("pagerank", "diffusive", "maxent")`. For details on the transition rules see Refs.2-3.

Value

a square matrix of dimension Nodes of transition probabilities for a discrete-time random walk on the given edge-coloured network.

References

De Domenico, M., Set al. (2013). Mathematical formulation of multilayer networks. Physical Review X, 3(4), 041022. doi 10.1103/PhysRevX.3.041022
De Domenico, M., et al. (2014). Navigability of interconnected networks under random failures. PNAS, 111(23). doi 10.1073/pnas.1318469111
Bertagnolli, G., & De Domenico, M. (2020). Diffusion Geometry of Multiplex and Interdependent Systems. arxiv preprint arxiv:2006.13032