The number of guillotine partitions in d dimensions
نویسندگان
چکیده
Guillotine partitions play an important role in many research areas and application domains, e.g., computational geometry, computer graphics, integrated circuit layout, and solid modeling, to mention just a few. In this paper we present an exact summation formula for the number of structurally-different guillotine partitions in d dimensions by n hyperplanes, and then show that it is Θ (( 2d− 1 + 2 √ d(d− 1))n/n3/2 ) .
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ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 98 شماره
صفحات -
تاریخ انتشار 2006