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Facility Location and the Geometric Minimum-Diameter Spanning Tree (2002)  (Make Corrections)  (2 citations)
Joachim Gudmundsson, Herman Haverkort, Sang-Min Park, Chan-Su Shin, Alexander Wolff



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Abstract: Let P be a set of n points in the plane. The geometric minimum-diameter spanning tree (MDST) of P is a tree that spans P and minimizes the Euclidian length of the longest path. It is known that there is always a mono- or a dipolar MDST, i.e. a MDST with one or two nodes of degree greater 1, respectively. The more di#cult dipolar case can so far only be solved in slightly subcubic time. (Update)

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BibTeX entry:   (Update)

J. Gudmundsson, H. Haverkort, S.-M. Park, C.-S. Shin, and A. Wol#. Facility location and the geometric minimum-diameter spanning tree. In Proc. APPROX '02, vol. 2462 of LNCS, pages 146--160, 2002. Springer. http://citeseer.ist.psu.edu/gudmundsson02facility.html   More

@misc{ gudmundsson02facility,
  author = "J. Gudmundsson and H. Haverkort and S. Park and C. Shin and A. Wol",
  title = "Facility location and the geometric minimum-diameter spanning tree",
  text = "J. Gudmundsson, H. Haverkort, S.-M. Park, C.-S. Shin, and A. Wol#. Facility
    location and the geometric minimum-diameter spanning tree. In Proc. APPROX
    '02, vol. 2462 of LNCS, pages 146--160, 2002. Springer.",
  year = "2002",
  url = "citeseer.ist.psu.edu/gudmundsson02facility.html" }
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