The State of Art on the Steiner Ratio Value in R³

Authors

  • R. Mondaini
  • N.V. Oliveira

DOI:

https://doi.org/10.5540/tema.2004.05.02.0249

Abstract

Our aim in this work is to make a brief review of the results related to the search of the Infimum and Supremum Values of the Steiner Ratio for point sets in R3. We show the fundamental achievements which were obtained in a research period of 35 years. We also comment on a recently proposed new upper bound value which is an improvement of Smith and Mac Gregor Smith’s bound.

References

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R. Mondaini, F. Montenegro and D.F. Mondaini, “Modelling a Steiner Point Distriution of a Special Helix Point Configuration”, Technical Report ES-398/96, PESC/COPPE-UFRJ, 1996.

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W.D. Smith and J. Mac Gregor Smith, On the Steiner Ratio in 3-Space, J. Comb. Theor., A69 (1995), 301-332.

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Published

2004-06-01

How to Cite

Mondaini, R., & Oliveira, N. (2004). The State of Art on the Steiner Ratio Value in R³. Trends in Computational and Applied Mathematics, 5(2), 249–257. https://doi.org/10.5540/tema.2004.05.02.0249

Issue

Vol. 5 No. 2 (2004)

Section

Original Article

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