Faster algorithms for growing prioritized disks and rectangles

  title={Faster algorithms for growing prioritized disks and rectangles},
  author={Hee-Kap Ahn and Sang Won Bae and Jong Min Choi and Matias Korman and Wolfgang Mulzer and Eunjin Oh and Ji-won Park and Andr{\'e} van Renssen and Antoine Vigneron},
  journal={Comput. Geom.},
Motivated by map labeling, we study the problem in which we are given a collection of $n$ disks $D_1, \dots, D_n$ in the plane that grow at possibly different speeds. Whenever two disks meet, the one with the lower index disappears. This problem was introduced by Funke, Krumpe, and Storandt [IWOCA 2016]. We provide the first general subquadratic algorithm for computing the times and the order of disappearance. This algorithm also works for other shapes (such as rectangles) and in any fixed… Expand
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