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Comments on Bern's probabilistic results on rectilinear Steiner trees

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Abstract

It is shown that Bern's probabilistic asymptotic results on rectilinear Steiner trees remain valid for the model that there are exactlyN nodes uniformly distributed in a square of side √N.

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References

  1. M.W. Bern, Two probabilistic results on rectilinear Steiner trees,Algorithmica,3 (1988), 191–204.

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  2. F. K. Hwang, On Steiner minimal trees with rectilinear distance,SIAM J. Appl. Math.,30 (1976), 104–114.

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Authors and Affiliations

  1. AT&T Bell Laboratories, 07974, Murray Hill, NJ, USA

    F. K. Hwang

  2. Department of Statistics, Colorado State University, 80523, Fort Collins, CO, USA

    Y. C. Yao

Authors
  1. F. K. Hwang
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  2. Y. C. Yao
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Communicated by D. T. Lee.

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Hwang, F.K., Yao, Y.C. Comments on Bern's probabilistic results on rectilinear Steiner trees. Algorithmica 5, 591–598 (1990). https://doi.org/10.1007/BF01840406

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  • DOI: https://doi.org/10.1007/BF01840406

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