… for the rather general case of convex routing regions, as described by [Nishizeki, Salto and
Suzuki], ie between every pair of vertices of the routing region there is a connecting path with …

… Introduction HANNEL ROUTING" is a significant wiring … If the lowermost horizontal segment
is shorter than the upper… as the case the uppermost is shorter. We use counterparts of TOP …

… this grid size input routing grid size because both the routing … straints, it is not a convex
programming problem because the … This length must be shorter than the upper length bound of …

… (GIS) (see 134]), wire routing, etc. The most basic form of the … ensure that the size of the grid
is bounded by a polynomial in … P is a (convex) polytope if it is the convex hull of its vertices. …

… Figure 1 presents an example of our global routing problem on a 4 x 4 grid with eight nets. …
To adjust the columns we note that by running a short tail within a rectangle we can effectively …

… We call this grid size input routing grid size because both A … Even though non-convex itself,
this new constraint is a … This length must be shorter than the upper length bound of the net. To …

… The geodesic Voronoi diagram of k sites inside P can be … corresponding to shortest paths
on the surface of a convex polytope P … In R3, we can do better than to use the O(n3) grid graph …

… routing region is overlaid with a rectilinear grid, and wires are required to be disjoint paths
within the grid. … : if the half-cut becomes too short, the other wires will be unable to fit across it. …

… to route areas (such as the convex grids of this chapter) more general than switchboxes. …
will result in wires between processors being significantly shorter than the global clock …