Item Infomation
Title: |
Deletion in Abstract Voronoi Diagrams in Expected Linear Time and Related Problems |
Authors: |
Kolja, Junginger Evanthia, Papadopoulou |
Issue Date: |
2023 |
Publisher: |
Springer |
Abstract: |
Updating an abstract Voronoi diagram in linear time, after deletion of one site, has been an open problem in a long time; similarly, for any concrete Voronoi diagram of generalized (non-point) sites. In this paper we present a simple, expected linear-time algorithm to update an abstract Voronoi diagram after deletion of one site. To achieve this result, we use the concept of a Voronoi-like diagram, a relaxed Voronoi structure of independent interest. Voronoi-like diagrams serve as intermediate structures, which are considerably simpler to compute, thus, making an expected linear-time construction possible. |
Description: |
CC BY |
URI: |
https://link.springer.com/article/10.1007/s00454-022-00463-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7523 |
Appears in Collections |
OER - Khoa học Tự nhiên |
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