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by Hsiao-feng Steven Chen, D. T. Lee
http://web.eecs.nwu.edu/~dtlee/IEEEtcad_crossing.ps.Z
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Abstract:

In this paper we consider a problem related to global routing post-optimization: the crossing minimization problem (CMP). Given a global routing representation, the CMP is to minimize redundant crossings between every pair of nets. In particular, there are two kinds of CMP: constrained CMP (CCMP) and unconstrained CMP (UCMP). These problems have been studied previously in [Groe89], where an O(m 2 n) algorithm was proposed for CCMP, and in [MS95], where an (mn 2

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