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Exact algorithms for multilayer topological via minimization

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3 Author(s)
Rim, C.S. ; Maryland Univ., College Park, MD, USA ; Kashiwabara, T. ; Nakajima, K.

In the past, several heuristic algorithms were developed for the topological via minimization problem. It was very recently shown to be NP-hard even for the two-layer channel routing case with two-terminal nets only. The authors show that if no local net exists in a channel, this problem is solvable in O(kn2) time even for k layers, where n is the number of two-terminal nets. As an extension of this case, they consider the problem for the case of k-layer circular channel routing in which no local net exists and present an O(n2k+1) time algorithm

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:8 ,  Issue: 11 )