Assembly comprising a vehicle wheel, with symmetry of revolution, comprising a disc and a rim, the said rim comprising a first and a second seat which seats are intended to receive and to hold a first and a second bead of the tire, each seat having a substantially frustoconical bottom locally coinciding with a cone of revolution coaxial with the rim and open towards the other seat, the said rim defining, at the level of an axial straight line passing through the farthermost points of the outer portions, a width Lj and, on the other hand, a tire for a vehicle wheel, comprising two sidewalls spaced axially apart and defining, at the level of an axial straight line passing through the farthermost points, a width Lf, in which when the said tire is mounted on the said rim and inflated close to its nominal working pressure and when the said tire is substantially unflattened, the said width Lf is greater than the said width Lj.