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The goal of this project is to help readers understand and utilize the algorithm presented in our paper (http://arxiv.org/abs/1309.6605). These scripts use Sage to find symmetries and clusters in networks, and compute the transformation matrix to irreducible representation coordinates.
I will try to update these codes to be more useful in the coming months. I welcome feedback, and will try to fix bugs and add features accordingly.
Disclaimer: I make no guarantee that my code will work for your purposes, whatever they are.
Follow Network Symmetries and Synchronization
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Overall I am very impressed. I did just want to note that using Ubuntu 14.04 and sage 7.2 I was not able to run your code as published. In order to get it to run I had to change get_orbits to: def get_orbits(self): ''' Returns the orbits of automorphism group as a list of lists ''' if self._orbits==None: self._group,self._orbits = \ (sg.Graph(sg.Matrix(self._adjmat))).automorphism_group(orbits=True) return sg.copy(self._orbits)