Near optimal-partitioning of rectangles and prisms

نویسندگان

  • Prosenjit Bose
  • Jurek Czyzowicz
  • Evangelos Kranakis
  • Danny Krizanc
  • Dominic Lessard
چکیده

This paper focuses on the following problems: Problem 1 Given an axis parallel rectangle, how do you cut it in k equal area pieces such that the total length of the cuts is minimum? What are the properties of an optimal cut? Problem 2 Given an axis parallel prism, how do you cut it in k equal volume pieces such that the total surface area of the cuts is minimum? What are the properties of an optimal cut?

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تاریخ انتشار 1999