The Expected Number of Extreme Discs

Given a finite set D of n planar discs whose centers are distributed randomly. We are interested in the expected number of extreme discs of the convex hull of D. We show that the expected number of extreme discs is at most O(log2n) for any distribution. This result can be used to derive expected com...

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Bibliographic Details
Main Authors: Hoang, Dung Nam, Nguyen, Kieu Linh
Other Authors: VNU Journal of Science: Mathematics – Physics
Format: Article
Language:English
Published: H. : ĐHQGHN 2019
Subjects:
Online Access:http://repository.vnu.edu.vn/handle/VNU_123/64753
https//doi.org/ 10.25073/2588-1124/vnumap.4347
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Institution: Vietnam National University, Hanoi
Language: English