Layout of the Cube-connected Cycles without Long Wires

Preparata and Vuillemin proposed the cube-connected cycles (CCC) in 1981, and in the same paper gave an asymptotically-optimal layout scheme for the CCC. While all the known optimal layouts of the CCC, including the Preparata–Vuillemin layout, have long wires, we give a new layout scheme which has no long wires while keeping the asymptotically-optimal area. Hence, we can conclude that the CCC can be laid out optimally (within a constant factor) both in area and in wire length. We also show how large a constant-factor blow-up in area is needed in order not to produce any long wire in the layout.