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IEEE Transactions on Circuit Theory
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A Counterexample to a Theorem of Fu on Steiner's Problem

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Abstract

In a paper by Fu it was stated that a necessary and sufficient condition to obtain a solution was found for Steiner's problem with rectilinear distance. It was further claimed that a process of iteration which was presented leads to a solution. It is the purpose of this correspondence to give a counterexample to Fu's main theorem and show that his iteration scheme does not always yield a solution. Hence Steiner's problem remains unsolved in the general case. © 1972, IEEE. All rights reserved.

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IEEE Transactions on Circuit Theory

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