For the definition of rings and ring coverings see
Goetzke, K., Klein, H.-J.: Properties and Efficient Algorithmic Determination of Different Classes
of Rings in Finite and Infinite Polyhedral Networks,
Journal of Non-Crystalline Solids, 127 (1991), 215-220
Some
explanations on ring statistics are helpful for the interpretation of these statistics.
Ring statistics for several structures can be found in
rings (ring classes and symmetry operations)
node-cover (minimal node covers)
edge-cover (minimal edge covers)
If you append 'b' and SNUM (from statistics) to the address http://www.hajo1766.de/
(e.g.: http://www.hajo1766.de/b46.01.80)
you get the data of the corresponding structure.