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Higher-order organization of complex networks

This is experimental Matlab code for the methods and some of the examples in

Higher-order Organization of Complex Networks. Austin R. Benson, David F. Gleich, and Jure Leskovec. Science, vol. 353, no. 6295, pp. 163-166, 2016.

If you use this code in a publication, please cite this paper.

The implementations used here do not use the most efficient triangle enumeration algorithms. Instead, they use the simplest matrix computations. Thus, the code here may not scale to super large networks. The C++ code uses all of the efficient counting techniques.

See the project page for more information about the methods.

Dependencies

• MatlabBGL for graph processing in Matlab. This is package is required to run the examples, but is not necessary to use the rest of the code, such as the MotifAdjacency() function.

Examples

• celegans_example.m reproduces some of the results in Figure 2 of the paper.
• foodweb_example.m reproduces some of the results in Section S7.1 of the paper.