Quartic Cayley graphs on up to 1025 vertices

A complete list of all connected quartic Cayley graphs on up to 1025 vertices has been determined (11361600 graphs in total). 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 quartic Cayley graphs on up to 1025 vertices. Extracting the downloaded file will place one file for each order <n> between 5 and 1025 named quarticcay_<n>.s6, into your current directory.