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The Dependence of the Steiner Ratio on the Dimension

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Book cover The Steiner Ratio

Part of the book series: Combinatorial Optimization ((COOP,volume 10))

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Abstract

Now, we will give an overview about the Steiner’s ratios of Banach-Minkowski spaces. In this sense, we have relatively good facts for the planar case, but our knowledge about the higher-dimensional cases is very limited.1 Moreover, it is strange that we know something more about the behavior of the Steiner ratio when the dimension runs to infinity.

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© 2001 Springer Science+Business Media Dordrecht

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Cieslik, D. (2001). The Dependence of the Steiner Ratio on the Dimension. In: The Steiner Ratio. Combinatorial Optimization, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6798-8_11

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  • DOI: https://doi.org/10.1007/978-1-4757-6798-8_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4856-4

  • Online ISBN: 978-1-4757-6798-8

  • eBook Packages: Springer Book Archive

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