Oi, you two there in the corner with your silly dunce caps, here's your ticket outta there. Sidewall pliability and by implication rubber thickness of a tyre is the single biggest contributor to rolling resistance of a wheel at speeds where aero drag plays no role. Rubber suffers from poor hysteresis, which means that it absorbs a lot of energy and thus doesn't return all the energy put into flexing or squeezing it. An example is a rubber ball. If you drop it, it doesn't bounce back to the height it was dropped from. The difference is due to energy losses when the rubber was compressed and springs back. The same happens in a tyre. The tyre is squeezed and convert some of the energy into heat, noise, vibration and other stuff I can't think of now. Air on the other hand is better at that and returns more energy than rubber. In other words, an air-filled ball will bounce back higher than a rubber filled ball. The same for tyres, if you can create the same "compressibility" by filling with air rather than putting more rubber on it, you save energy. Thus, thin-walled tyres go faster. Thin walled is difficult to define though but you could weight the tyre (please don't do that, it is so naff) or you could look at the thread count. A higher thread count would indicate a thinner-walled tyre. This is because you can stack more thin threads next to each other in a given distance than thick ones. You need a certain collective strength of thread in the tyre to resist the air pressure and prevent the tyre from becoming bigger with inflation. You can achieve that by using lots of thin ones or a few thick ones. the latter requires more rubber to cover it but is cheaper to make. Indirectly, thread count is an indication of rolling resistance.
Rolling resistance in tyres is also dependent on the tyre's make-up. Tyres with silica (fancy word for sand) in it have less rolling resistance than tyres with carbon black in. However, the latter has better wet and dry grip. Silica tyres come in pretty colours, carbon tyres only in ....black.
Bicycle tyre manufacturers have decided we don't need to know that silica tyres have less grip and don't give us the choice between silica or carbon black - or don't disclose the compound if they do offer a variety. Car tyres all have carbon black in because it's the law.