A bicycle comprises a main frame defining a spring mount, a pivot mount, and a reinforcing strut substantially directly connecting the spring mount to the pivot mount. The reinforcing strut is asymmetrically positioned on one side of the central plane. A rear frame is movable relative to the main frame, a pivot link couples the main frame to the rear frame, and a spring assembly couples a portion of the pivot link to the main frame. The pivot link comprises a left link member, a right link member, and a link bridge connecting the left link member to the right link member. Preferably, the link bridge is positioned rearward of a seat tube on the main frame. The rear frame comprises a seatstay bridge connecting a left and right seatstays. The main frame can support a crank assembly having a chainring offset from the central plane on the same side as the reinforcing strut.