Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773530 | Applied and Computational Harmonic Analysis | 2018 | 11 Pages |
Abstract
We propose a framework for the visualization of directed networks relying on the eigenfunctions of the magnetic Laplacian, called here Magnetic Eigenmaps. The magnetic Laplacian is a complex deformation of the well-known combinatorial Laplacian. Features such as density of links and directionality patterns are revealed by plotting the phases of the first magnetic eigenvectors. An interpretation of the magnetic eigenvectors is given in connection with the angular synchronization problem. Illustrations of our method are given for both artificial and real networks.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michaël Fanuel, Carlos M. AlaÃz, Ángela Fernández, Johan A.K. Suykens,