A note on approximating snowflake metrics by trees

نویسنده

  • William Leeb
چکیده

prove that the tree construction of Fakcharoenphol, Rao, and Talwar [2] can be used to approximate snowflake metrics by trees with expected distortion bounded independently of the size of the metric space. The constant of distortion we derive depends linearly on the dimension of the metric space. We also present an algorithm for building a single tree whose cost is linear in the problem size. Approved for public release: distribution is unlimited.

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Approximating snowflake metrics by trees

Article history: Received 25 January 2015 Received in revised form 4 November 2015 Accepted 7 October 2016 Available online xxxx Communicated by Charles K. Chui MSC: 68W05 68W25 05C05 54E35

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تاریخ انتشار 2014