This dataset contains the cubic graphs with the maximum number of edge-Kempe equivalence classes up to 30 vertices as well the code which we implemented and used to determine the number of edge-Kempe equivalence classes of cubic input graphs. See: "J. Goedgebeur and P.R.J. ��sterg��rd, Switching 3-edge-colorings of cubic graphs, arXiv preprint arXiv:2105.01363, 2021" for more information. The graphs are stored in graph6 format (see http://users.cecs.anu.edu.au/~bdm/data/formats.html for more information on this format).

{"references": ["J. Goedgebeur and P.R.J. \u00d6sterg\u00e5rd, Switching 3-edge-colorings of cubic graphs, manuscript, 2021."]}