Implementation of the Leiden algorithm for various quality functions to be used with igraph in Python.
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README.rst

leidenalg

This package implements the Leiden algorithm in C++ and exposes it to python. It relies on (python-)igraph for it to function. Besides the relative flexibility of the implementation, it also scales well, and can be run on graphs of millions of nodes (as long as they can fit in memory). The core function is find_partition which finds the optimal partition using the Leiden algorithm [1], which is an extension of the Louvain algorithm [2] for a number of different methods. The methods currently implemented are (1) modularity [3], (2) Reichardt and Bornholdt's model using the configuration null model and the Erdös-Rényi null model [4], (3) the constant Potts model (CPM) [5], (4) Significance [6], and finally (5) Surprise [7]. In addition, it supports multiplex partition optimisation allowing community detection on for example negative links [8] or multiple time slices [9]. It also provides some support for community detection on bipartite graphs. See the documentation for more information.

Leiden documentation status Leiden build status DOI

Installation

In short, for Unix: pip install leidenalg. For Windows: download the binary installers.

For Unix like systems it is possible to install from source. For Windows this is overly complicated, and you are recommended to use the binary installation files. There are two things that are needed by this package: the igraph C core library and the python-igraph python package. For both, please see http://igraph.org.

Make sure you have all necessary tools for compilation. In Ubuntu this can be installed using sudo apt-get install build-essential, please refer to the documentation for your specific system. Make sure that not only gcc is installed, but also g++, as the leidenalg package is programmed in C++. Note that to compile igraph itself, you also need to install libxml2-dev.

You can check if all went well by running a variety of tests using python setup.py test.

There are basically two installation modes, similar to the python-igraph package itself (from which most of the setup.py comes).

  1. No C core library is installed yet. The packages will be compiled and linked statically to an automatically downloaded version of the C core library of igraph.
  2. A C core library is already installed. In this case, the package will link dynamically to the already installed version. This is probably also the version that is used by the igraph package, but you may want to double check this.

In case the python-igraph package is already installed before, make sure that both use the same versions.

The cleanest setup it to install and compile the C core library yourself (make sure that the header files are also included, e.g. install also the development package from igraph). Then both the python-igraph package, as well as this package are compiled and (dynamically) linked to the same C core library.

Troubleshooting

In case of any problems, best to start over with a clean environment. Make sure you remove the python-igraph package completely, remove the C core library and remove the leidenalg package. Then, do a complete reinstall starting from pip install leidenalg. In case you want a dynamic library be sure to then install the C core library from source before. Make sure you install the same versions.

Usage

There is no standalone version of leidenalg, and you will always need python to access it. There are no plans for developing a standalone version or R support. So, use python. Please refer to the documentation for more details on function calls and parameters.

Just to get you started, below the essential parts. To start, make sure to import the packages:

>>> import leidenalg
>>> import igraph as ig

We'll create a random graph for testing purposes:

>>> G = ig.Graph.Erdos_Renyi(100, 0.1);

For simply finding a partition use:

>>> part = leidenalg.find_partition(G, leidenalg.ModularityVertexPartition);

Contribute

Source code: https://github.com/vtraag/leidenalg

Issue tracking: https://github.com/vtraag/leidenalg/issues

See the documentation on Implementation for more details on how to contribute new methods.

References

Please cite the references appropriately in case they are used.

[1]Traag, V.A., Waltman. L., Van Eck, N.-J. (2018). From Louvain to Leiden: guaranteeing well-connected communities. arXiv:1810.08473
[2]Blondel, V. D., Guillaume, J.-L., Lambiotte, R., & Lefebvre, E. (2008). Fast unfolding of communities in large networks. Journal of Statistical Mechanics: Theory and Experiment, 10008(10), 6. 10.1088/1742-5468/2008/10/P10008
[3]Newman, M. E. J., & Girvan, M. (2004). Finding and evaluating community structure in networks. Physical Review E, 69(2), 026113. 10.1103/PhysRevE.69.026113
[4]Reichardt, J., & Bornholdt, S. (2006). Statistical mechanics of community detection. Physical Review E, 74(1), 016110. 10.1103/PhysRevE.74.016110
[5]Traag, V. A., Van Dooren, P., & Nesterov, Y. (2011). Narrow scope for resolution-limit-free community detection. Physical Review E, 84(1), 016114. 10.1103/PhysRevE.84.016114
[6]Traag, V. A., Krings, G., & Van Dooren, P. (2013). Significant scales in community structure. Scientific Reports, 3, 2930. 10.1038/srep02930
[7]Traag, V. A., Aldecoa, R., & Delvenne, J.-C. (2015). Detecting communities using asymptotical surprise. Physical Review E, 92(2), 022816. 10.1103/PhysRevE.92.022816
[8]Traag, V. A., & Bruggeman, J. (2009). Community detection in networks with positive and negative links. Physical Review E, 80(3), 036115. 10.1103/PhysRevE.80.036115
[9]Mucha, P. J., Richardson, T., Macon, K., Porter, M. A., & Onnela, J.-P. (2010). Community structure in time-dependent, multiscale, and multiplex networks. Science, 328(5980), 876–8. 10.1126/science.1184819

Licence

Copyright (C) 2016 V.A. Traag

This program is free software: you can redistribute it and/or modify it 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 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. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.