Here's what I am aware of when a tire is said to be LRR. From the weight of the vehicle the bottom of the tire is flattened some which is where it comes on to contact with the road. So the tire is not perfectly round. For ideal low rolling resistence you'd want a perfect circle, but then that brings in the saftey issues of loosing control too easily. LRR tires use a extra strength side wall so they don't deform at the bottom as much. They can also incorporate different compounds in the tread which make the tire easier to turn. Soft rubber takes more power to spin than hard rubber.
Unfortunately there is really no rating of LRR. From what I've seen the Potenza is going to be the lowest rolling resistance of any tire your going to find. As I've mentioned the Goodyear Integrity is close behind it. Generally if you look for reviews on tires and find ones that have bad reviews as far as traction it's a hint that they are LRR. Also if you look on the manufacturers page sometimes it will say something like designed for better fuel efficiency.
Like Rick Reece has posted before he tried some skinny 155 (was it) tires on his Insight that were not LRR and mileage was about the same or actually took a hit if I recall correctly.
Unfortunately there is really no rating of LRR. From what I've seen the Potenza is going to be the lowest rolling resistance of any tire your going to find. As I've mentioned the Goodyear Integrity is close behind it. Generally if you look for reviews on tires and find ones that have bad reviews as far as traction it's a hint that they are LRR. Also if you look on the manufacturers page sometimes it will say something like designed for better fuel efficiency.
Like Rick Reece has posted before he tried some skinny 155 (was it) tires on his Insight that were not LRR and mileage was about the same or actually took a hit if I recall correctly.