This webpage provides accompanying software for the paper [1].
The Mathematica notebook that computes the lists of graphs as in [1, Table 2] can be downloaded here.
The Mathematica notebook that analyzes the cubic graphs as in [1, Section 6] can be downloaded here.
In order to run these Mathematica notebooks, the Graph6 files (g6)
"cub04.g6", "cub06.g6", "cub08.g6", "cub10.g6", "cub12.g6", "cub14.g6", "cub12.g6", "cub14.g6", and "cub16.g6"
that contain the complete list of cubic graphs with 4, 6, ..., and 16 vertices, are needed.
The source of these Graph6 files is [2]. The Graph6 files can be downloaded from this webpage here. On that webpage, the cubic graphs are listed by their number of vertices and their girth. The files mentioned above correspond to the list of cubic graphs with girth greater than or equal to 3.
[1] I. Charton and L. Kessler
Transformation Groups (2025)
[2] K. Coolsaet, S. D'hondt and J. Goedgebeur, House of Graphs 2.0: A database of interesting graphs and more, Discrete Applied Mathematics, 325:97-107, 2023. Available at https://houseofgraphs.org