A simple proof of the planar rectilinear Steiner ratio

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Abstract

The rectilinear Steiner ratio is the worst-case ratio of the length of a rectilinear minimum spanning tree to the length of a minimal tree. Hwang proved that the ratio for point sets in the plane is 3/2. We provide a simple proof of the 3/2-bound.

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Supported in part by NSF Grant MIP-9107717.

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Copyright © 1992 Published by Elsevier B.V.