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Multilevel graph coarsening algorithm with spectral and cut guarantees

License: Apache License 2.0

Jupyter Notebook 36.12% Python 63.88%

graph-coarsening's Introduction

graph-coarsening

Multilevel graph coarsening algorithm with spectral and cut guarantees

The code accompanies the paper: Graph reduction with spectral and cut guarantees published at JMLR/2019.

There are four python notebooks included:

  • The "coarsening_demo.ipynb" demonstrates how the code can be used with a toy example (see also this blogpost).
  • The "experiment_approximation.ipynb" reproduces the results of Section 5.1
  • The "experiment_spectrum.ipynb" reproduces the results of Section 5.2
  • The "experiment_scalability.ipynb" reproduces the results of Section 5.3

Since I have not fixed the random seed, some small variance should be expected in the experiment output.

Depedencies: pygsp, matplotlib, numpy, scipy, networkx, sortedcontainers

This work was kindly supported by the Swiss National Science Foundation (grant number PZ00P2 179981).

15 March 2019

Andreas Loukas

DOI

Released under the Apache license 2.0

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