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A Linear-Time Routing Algorithm for Convex Grids
Nishizeki, T.   Saito, N.   Suzuki, K.  

This paper appears in: Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
Publication Date: January 1985
Volume: 4,  Issue: 1
On page(s): 68- 76
ISSN: 0278-0070
Current Version Published: 2004-03-03

Abstract
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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