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On river routing with minimum number of jogs

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2 Author(s)
Tuan, T.C. ; Sch. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK ; Teo, K.H.

The one-layer wiring problem of providing a one-to-one connection between two sets of terminals that lie on two horizontal lines by means of wires, which are in the forms of disjoint rectilinear curves on a unit-grid (where one unit is the minimum spacing between two wires), is called the river routing problem. The minimization of horizontal wire segments for a one-layer rectilinear river routing model is discussed. For given separation s, the list of simple jog sequences is merged into a list of compound jog sequences that leads to the concept of feasible cuts. An algorithm that finds a feasible cut whose corresponding layout has the minimum possible total number of horizontal wires segments is given. An algorithm that gives a complete description of the layout is also given. Both algorithms run in time O(n*s)

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:10 ,  Issue: 2 )