MagneticMap: Magnetic Laplacian Matrix and Magnetic Eigenmap Visualization

In MagneticMap: Magnetic Laplacian Matrix and Magnetic Eigenmap Visualization

Description

Constructs the normalized magnetic Laplacian Matrix of a square matrix, returns the eigenvectors and visualization of magnetic eigenmap.

Usage

MagneticMap(W, g, Plot2D=FALSE, Plot3D=FALSE)

Arguments

W	a numeric or complex matrix whose magnetic Laplacian matrix is to be computed
g	the electric charge parameter that quantifies the importance of the directional information, 0 <= g <1/2
Plot2D	a logical value indicating whether a 2-D map should be plotted
Plot3D	a logical value indicating whether a 3-D map should be plotted

Value

matrix	the normalized magnetic Laplacian matrix
eigenvector	the eigenvectors of normalized magnetic Laplacian matrix

References

Fanuel et al. (2016) Magnetic Eigenmaps for Visualization of Directed Networks, preprint arXiv:1606.08266.

Examples

#Create a square matrix
M <- matrix(c(1:16), 4, 4)
#Construct normalized magnetic Laplacian matrix and plot map
m <- MagneticMap(M, g=1/3, Plot2D=TRUE, Plot3D=TRUE)
#See the eigenvectors
vector<-m$eigenvector

Example output

MagneticMap documentation built on May 29, 2017, 6:17 p.m.