ginestrab / MultiRank

MultiRank

This repository comprizes all the MATLAB files implementing the MultiRank algorithm to rank nodes and layers in large multiplex networks.

It includes:

1. MultiRank_Nodes_Layers .m the actual MultiRank algorithm generating a ranking of node and a ranking of layers for every parameter values gamma, s, a.

2. MultiRank.m evaluating the Multirank for different values of gamma in the interval (0,3) for given values of s and a.

3. MultiRank_plots.m is the code to generate the plots of the top rank nodes and layers

4. The datasets of the European Air Multiplex Transportation Network EUAirTransportation_layers.txt EUAirTransportation_nodes.txt EUAir Transportation_multiplex.edges

5. The file read_airports.m to read the above dataset and put in in the format to be read by the MATLAB codes.

If you want to see how the algorithm works for the given dataset execute the following commands

read_airports

[X,Z,XR,ZR]=MultiRank(A,M,N,1,1)

MultiRank_plots(XR,ZR,Nnames,Lnames,N,M,15,15)

If you use the included MATLAB code please cite

[1] C. Rahmede, J.Iacovacci, A. Arenas and G. Bianconi, "Centralities of Nodes and Influences of Layers in Large Multiplex Networks" Journal of Complex Networks 6, 733 (2017).

(c) Christoph Rahmede ([e-mail]) Ginestra Bianconi ([e-mail])

The European Air Multiplex Transportation Network is taken from the data repository of Manlio de Domenico available at http://deim.urv.cat/~manlio.dedomenico/data.php

If you use this dataset please cite:

[2] Alessio Cardillo, Jesús Gómez-Gardenes, Massimiliano Zanin, Miguel Romance, David Papo, Francisco del Pozo and Stefano Boccaletti - Emergence of network features from multiplexity. Scientific Reports 3, Article number: 1344 doi:10.1038/srep01344

This code can be redistributed and/or modified under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed ny the authors in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.