Pin assignment and routing on a single-layer Pin Grid Array

PGA routing has the freedom of routing any pin to any pad. We propose an algorithm (EVENPGA) that generates a monotonic topological routing. The routing has no detours and is uniformly distributed optimally. The wire length is also the shortest possible under the taxicab wiring metric. If the topological routing is routable, the maximum density of critical cuts along a ring is the minimum possible. Once the topological routing is done, physical layout can easily be obtained using Surf, a rubberband-based routing system.