The Expected Number of Extreme Discs

• 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: Convex hull; Computational geometry; Expected number
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/64753; https//doi.org/ 10.25073/2588-1124/vnumap.4347
• Institution: Vietnam National University, Hanoi

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...