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A Linear-Time Routing Algorithm for Convex Grids

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3 Author(s)
Nishizeki, T. ; Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai, Japan ; Saito, N. ; Suzuki, K.

In this paper, we consider the channel routing problem involving two-terminal nets on rectilinear grids. An efficient algorithm is described which necessarily finds a routing in a given grid whenever it exists. The algorithm is not a heuristic but an exact one, and works for a rather large class of grids, called convex grids, including the grids of rectangular, T-, L-, or X-shape boundaries. Both the running time and required space are linear in the number of vertices of a grid.

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:4 ,  Issue: 1 )