The repeater tree construction problem
A tree-like substructure on a computer chip whose task it is to carry a signal from a source circuit to possibly many sink circuits and which consists only of wires and so-called repeater circuits is called a repeater tree. We present a mathematical formulation of the optimization problems related to the construction of such repeater trees. Furthermore, we prove theoretical properties of a simple iterative procedure for these problems which was successfully applied in practice.
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