Additional material to "Perfect colourings of regular graphs"

In "Perfect colourings of regular graphs" Joseph Damasco and me determined all parameter matrices that correspond to perfect colourings of k-regular connected graphs for k in {3,4,5}. The entire list is pretty long. Hence part of the list is omitted from the paper and the complete list is available here. The sage worksheets are available here, too. Some of them need several hours of computation. So the already computed lists are also available here as sage data files.

The sage data files can be loaded into any sage worksheet: open('path/to/file/4col-list.sage')

The sage worksheets can be just opened with sage. Then each cell needs to be executed with SHIFT-RETURN.


Dirk Frettlöh, 26th February 2018