Cubic Cayley graphs on up to 5000 vertices

A complete list of all connected cubic Cayley graphs on up to 5000 vertices has been determined (1939864 graphs). Group theoretical computations were performed using Magma, while reduction modulo graph isomorphism was done using Nauty. This dataset was constructed using similar techniques as described in this paper, and we plan to publish details of the enumerative methods and computational techniques used in the near future. The resulting graphs are available in sparse6 format. The file below contains all connected cubic Cayley graphs on up to 5000 vertices. Extracting the downloaded file will place one file for each even order <n> between 4 and 5000, named cubiccay_<n>.s6, into your current directory.