A powerful global router: based on Steiner min-max trees

Abstract
A study is made of the global routing of multiterminal nets. The authors propose a novel global router. Each step consists of finding a tree, called Steiner min-max tree, that is, a Steiner tree with the maximum-weight edge minimized (real vertices represent channels containing terminals of a net, Steiner vertices represent intermediate channels, and weights correspond to densities). An efficient algorithm is presented for obtaining a Steiner min-max tree, in a weighted graph. Experimental results on difficult examples, randomly generated data, master slice chips, and benchmark examples from the physical design workshop are very promising. (In all cases, previous results have been improved.).

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