Cayley graphs and state transfer: data and code

Data and SageMath code accompanying the paper Perfect state transfer and Cayley presentations by A. S. Árnadóttir and K. Guo (arXiv:2608.20476). All connected Cayley graphs on 6 to 29 vertices up to isomorphism (graph6), with the groups of which each is a Cayley graph (GAP SmallGroups ids). All connected vertex-transitive graphs on at most 23 vertices with peak state transfer, with partner vertex, time, exact amount, and Cayley groups. The census of connected vertex-transitive graphs with perfect state transfer from the paper (complete for at most 30 vertices; partial at 32). SageMath code computing all Cayley graphs of a given group, and testing for perfect and peak state transfer. Please cite this dataset together with the paper.