The repeater tree construction problem

  • Authors:
  • C. Bartoschek;S. Held;J. Maíberg;D. Rautenbach;J. Vygen

  • Affiliations:
  • Forschungsinstitut für Diskrete Mathematik, Universität Bonn, Lennéstr. 2, D-53113 Bonn, Germany;Forschungsinstitut für Diskrete Mathematik, Universität Bonn, Lennéstr. 2, D-53113 Bonn, Germany;Forschungsinstitut für Diskrete Mathematik, Universität Bonn, Lennéstr. 2, D-53113 Bonn, Germany;Institut für Optimierung und Operations Research, Universität Ulm, D-89069 Ulm, Germany;Forschungsinstitut für Diskrete Mathematik, Universität Bonn, Lennéstr. 2, D-53113 Bonn, Germany

  • Venue:
  • Information Processing Letters
  • Year:
  • 2010

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Abstract

A tree-like substructure on a computer chip whose task 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.