Global routing in sea-of-gates technology

With the advance of VLSI technology, wires are now routed not only in the channels but also over the cells. The author studies the global routing of multiterminal nets in the sea-of-gates technology. For an m×m array he presents a global router that produces the optimal channel width in the x-direction and guarantees that the channel width in the y-direction is never larger than min(3s*/2,m), where s* is the largest span of the set of nets