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In a recent paper [2], a linear programming formulation was given for the problem of computing a shortest network under a fixed topology (under the \lambda{\hbox{-}}{\rm metric}). We point out a nontrivial error in this paper and give a correct and simpler linear programming formulation. We also show that the result can be generalized to any distance function given by a Minkowski unit circle that is a centrally symmetric polygon.
Steiner trees, shortest network under a fixed topology, polygonal Minkowski unit circle, linear programming.
M. Zachariasen, "Comment on "Computing the Shortest Network under a Fixed Topology'", IEEE Transactions on Computers, vol. 55, no. , pp. 783-784, June 2006, doi:10.1109/TC.2006.84
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